What is the Greatest Common Factor of 56007 and 56021?

Greatest common factor (GCF) of 56007 and 56021 is 7.

GCF(56007,56021) = 7

We will now calculate the prime factors of 56007 and 56021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56007 and 56021.

How to find the GCF of 56007 and 56021?

We will first find the prime factorization of 56007 and 56021. After we will calculate the factors of 56007 and 56021 and find the biggest common factor number .

Step-1: Prime Factorization of 56007

Prime factors of 56007 are 3, 7, 127. Prime factorization of 56007 in exponential form is:

56007 = 3² × 7² × 127¹

Step-2: Prime Factorization of 56021

Prime factors of 56021 are 7, 53, 151. Prime factorization of 56021 in exponential form is:

56021 = 7¹ × 53¹ × 151¹

Step-3: Factors of 56007

List of positive integer factors of 56007 that divides 56007 without a remainder.

1, 3, 7, 9, 21, 49, 63, 127, 147, 381, 441, 889, 1143, 2667, 6223, 8001, 18669

Step-4: Factors of 56021

List of positive integer factors of 56021 that divides 56007 without a remainder.

1, 7, 53, 151, 371, 1057, 8003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56007 and 56021. The biggest common factor number is the GCF number.
So the greatest common factor 56007 and 56021 is 7.

Also check out the Least Common Multiple of 56007 and 56021