Prime Factorization of 980 and 3920

Use Prime Factorization: Calculate GCF(980,3920) Reduce 490 to the product of primes:490 = 5 x 98

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Calculate GCF(980,3920)

Prime factorization for 980
980 = 2 x 490 <--- 2 is a prime number

Reduce 490 to the product of primes:
490 = 5 x 98 <--- 5 is a prime number

Reduce 98 to the product of primes:
98 = 7 x 14 <--- 7 is a prime number

Reduce 14 to the product of primes:
14 = 2 x 7 <--- 2 is a prime number

Reduce 7 to the product of primes:

Show prime factorization:

Prime factorization for 980 = 2 x 2 x 5 x 7 x 7

Prime factorization for 3920
3920 = 2 x 1960 <--- 2 is a prime number

Reduce 1960 to the product of primes:
1960 = 5 x 392 <--- 5 is a prime number

Reduce 392 to the product of primes:
392 = 7 x 56 <--- 7 is a prime number

Reduce 56 to the product of primes:
56 = 2 x 28 <--- 2 is a prime number

Reduce 28 to the product of primes:
28 = 7 x 4 <--- 7 is a prime number

Reduce 4 to the product of primes:
4 = 2 x 2 <--- 2 is a prime number

Reduce 2 to the product of primes:

Show prime factorization:

Prime factorization for 3920 = 2 x 2 x 2 x 2 x 5 x 7 x 7

Find Matching Primes:

Prime factorization for 980 = 2 x 2 x 5 x 7 x 7

Prime factorization for 3920 = 2 x 2 x 2 x 2 x 5 x 7 x 7


Based on this our GCF is:
GCF of (980,3920) = 22 x 5 x 72
GCF of (980,3920) = 4 x 5 x 49

GCF of (980,3920) = 980

You have 1 free calculations remaining

GCF of (980,3920) = 980


What is the Answer?

GCF of (980,3920) = 980

How does the Greatest Common Factor and Least Common Multiple Calculator work?

Free Greatest Common Factor and Least Common Multiple Calculator - Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.

What 11 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?

divisionseparate a number into partsdivisionseparate a number into partsfactora divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.greatest common factorlargest positive integer dividing a set of integersgreatest common factor and least common multipleleast common multipleGiven 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)minimumthe least or lowest amount possible or attainedmultiplethe product of any quantity and an integernumberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.prime factorizationthe prime numbers that divide that integer exactlyremainderThe portion of a division operation leftover after dividing two integers

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