What is the Greatest Common Factor of 56252 and 56266?

Greatest common factor (GCF) of 56252 and 56266 is 14.

GCF(56252,56266) = 14

We will now calculate the prime factors of 56252 and 56266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56252 and 56266.

How to find the GCF of 56252 and 56266?

We will first find the prime factorization of 56252 and 56266. After we will calculate the factors of 56252 and 56266 and find the biggest common factor number .

Step-1: Prime Factorization of 56252

Prime factors of 56252 are 2, 7, 41. Prime factorization of 56252 in exponential form is:

56252 = 2² × 7³ × 41¹

Step-2: Prime Factorization of 56266

Prime factors of 56266 are 2, 7, 4019. Prime factorization of 56266 in exponential form is:

56266 = 2¹ × 7¹ × 4019¹

Step-3: Factors of 56252

List of positive integer factors of 56252 that divides 56252 without a remainder.

1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 343, 574, 686, 1148, 1372, 2009, 4018, 8036, 14063, 28126

Step-4: Factors of 56266

List of positive integer factors of 56266 that divides 56252 without a remainder.

1, 2, 7, 14, 4019, 8038, 28133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56252 and 56266. The biggest common factor number is the GCF number.
So the greatest common factor 56252 and 56266 is 14.

Also check out the Least Common Multiple of 56252 and 56266