What is the Greatest Common Factor of 57252 and 57270?

Greatest common factor (GCF) of 57252 and 57270 is 6.

GCF(57252,57270) = 6

We will now calculate the prime factors of 57252 and 57270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57252 and 57270.

How to find the GCF of 57252 and 57270?

We will first find the prime factorization of 57252 and 57270. After we will calculate the factors of 57252 and 57270 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 57270

Prime factors of 57270 are 2, 3, 5, 23, 83. Prime factorization of 57270 in exponential form is:

57270 = 2¹ × 3¹ × 5¹ × 23¹ × 83¹

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 57270

List of positive integer factors of 57270 that divides 57252 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 83, 115, 138, 166, 230, 249, 345, 415, 498, 690, 830, 1245, 1909, 2490, 3818, 5727, 9545, 11454, 19090, 28635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57252 and 57270. The biggest common factor number is the GCF number.
So the greatest common factor 57252 and 57270 is 6.

Also check out the Least Common Multiple of 57252 and 57270