What is the Greatest Common Factor of 57522 and 57537?

Greatest common factor (GCF) of 57522 and 57537 is 3.

GCF(57522,57537) = 3

We will now calculate the prime factors of 57522 and 57537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57522 and 57537.

How to find the GCF of 57522 and 57537?

We will first find the prime factorization of 57522 and 57537. After we will calculate the factors of 57522 and 57537 and find the biggest common factor number .

Step-1: Prime Factorization of 57522

Prime factors of 57522 are 2, 3, 9587. Prime factorization of 57522 in exponential form is:

57522 = 2¹ × 3¹ × 9587¹

Step-2: Prime Factorization of 57537

Prime factors of 57537 are 3, 2131. Prime factorization of 57537 in exponential form is:

57537 = 3³ × 2131¹

Step-3: Factors of 57522

List of positive integer factors of 57522 that divides 57522 without a remainder.

1, 2, 3, 6, 9587, 19174, 28761

Step-4: Factors of 57537

List of positive integer factors of 57537 that divides 57522 without a remainder.

1, 3, 9, 27, 2131, 6393, 19179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57522 and 57537. The biggest common factor number is the GCF number.
So the greatest common factor 57522 and 57537 is 3.

Also check out the Least Common Multiple of 57522 and 57537