What is the Greatest Common Factor of 57252 and 57262?

Greatest common factor (GCF) of 57252 and 57262 is 2.

GCF(57252,57262) = 2

We will now calculate the prime factors of 57252 and 57262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57252 and 57262.

How to find the GCF of 57252 and 57262?

We will first find the prime factorization of 57252 and 57262. After we will calculate the factors of 57252 and 57262 and find the biggest common factor number .

Step-1: Prime Factorization of 57252

Prime factors of 57252 are 2, 3, 13, 367. Prime factorization of 57252 in exponential form is:

57252 = 2² × 3¹ × 13¹ × 367¹

Step-2: Prime Factorization of 57262

Prime factors of 57262 are 2, 28631. Prime factorization of 57262 in exponential form is:

57262 = 2¹ × 28631¹

Step-3: Factors of 57252

List of positive integer factors of 57252 that divides 57252 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 367, 734, 1101, 1468, 2202, 4404, 4771, 9542, 14313, 19084, 28626

Step-4: Factors of 57262

List of positive integer factors of 57262 that divides 57252 without a remainder.

1, 2, 28631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57252 and 57262. The biggest common factor number is the GCF number.
So the greatest common factor 57252 and 57262 is 2.

Also check out the Least Common Multiple of 57252 and 57262