What is the Greatest Common Factor of 57648 and 57652?

Greatest common factor (GCF) of 57648 and 57652 is 4.

GCF(57648,57652) = 4

We will now calculate the prime factors of 57648 and 57652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57648 and 57652.

How to find the GCF of 57648 and 57652?

We will first find the prime factorization of 57648 and 57652. After we will calculate the factors of 57648 and 57652 and find the biggest common factor number .

Step-1: Prime Factorization of 57648

Prime factors of 57648 are 2, 3, 1201. Prime factorization of 57648 in exponential form is:

57648 = 2⁴ × 3¹ × 1201¹

Step-2: Prime Factorization of 57652

Prime factors of 57652 are 2, 7, 29, 71. Prime factorization of 57652 in exponential form is:

57652 = 2² × 7¹ × 29¹ × 71¹

Step-3: Factors of 57648

List of positive integer factors of 57648 that divides 57648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1201, 2402, 3603, 4804, 7206, 9608, 14412, 19216, 28824

Step-4: Factors of 57652

List of positive integer factors of 57652 that divides 57648 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 71, 116, 142, 203, 284, 406, 497, 812, 994, 1988, 2059, 4118, 8236, 14413, 28826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57648 and 57652. The biggest common factor number is the GCF number.
So the greatest common factor 57648 and 57652 is 4.

Also check out the Least Common Multiple of 57648 and 57652