What is the Greatest Common Factor of 57246 and 57252?

Greatest common factor (GCF) of 57246 and 57252 is 6.

GCF(57246,57252) = 6

We will now calculate the prime factors of 57246 and 57252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57246 and 57252.

How to find the GCF of 57246 and 57252?

We will first find the prime factorization of 57246 and 57252. After we will calculate the factors of 57246 and 57252 and find the biggest common factor number .

Step-1: Prime Factorization of 57246

Prime factors of 57246 are 2, 3, 7, 29, 47. Prime factorization of 57246 in exponential form is:

57246 = 2¹ × 3¹ × 7¹ × 29¹ × 47¹

Step-2: 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-3: Factors of 57246

List of positive integer factors of 57246 that divides 57246 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 47, 58, 87, 94, 141, 174, 203, 282, 329, 406, 609, 658, 987, 1218, 1363, 1974, 2726, 4089, 8178, 9541, 19082, 28623

Step-4: Factors of 57252

List of positive integer factors of 57252 that divides 57246 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57246 and 57252. The biggest common factor number is the GCF number.
So the greatest common factor 57246 and 57252 is 6.

Also check out the Least Common Multiple of 57246 and 57252