What is the Greatest Common Factor of 56560 and 56572?

Greatest common factor (GCF) of 56560 and 56572 is 4.

GCF(56560,56572) = 4

We will now calculate the prime factors of 56560 and 56572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56560 and 56572.

How to find the GCF of 56560 and 56572?

We will first find the prime factorization of 56560 and 56572. After we will calculate the factors of 56560 and 56572 and find the biggest common factor number .

Step-1: Prime Factorization of 56560

Prime factors of 56560 are 2, 5, 7, 101. Prime factorization of 56560 in exponential form is:

56560 = 2⁴ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 56572

Prime factors of 56572 are 2, 14143. Prime factorization of 56572 in exponential form is:

56572 = 2² × 14143¹

Step-3: Factors of 56560

List of positive integer factors of 56560 that divides 56560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 101, 112, 140, 202, 280, 404, 505, 560, 707, 808, 1010, 1414, 1616, 2020, 2828, 3535, 4040, 5656, 7070, 8080, 11312, 14140, 28280

Step-4: Factors of 56572

List of positive integer factors of 56572 that divides 56560 without a remainder.

1, 2, 4, 14143, 28286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56560 and 56572. The biggest common factor number is the GCF number.
So the greatest common factor 56560 and 56572 is 4.

Also check out the Least Common Multiple of 56560 and 56572