What is the Greatest Common Factor of 57652 and 57664?

Greatest common factor (GCF) of 57652 and 57664 is 4.

GCF(57652,57664) = 4

We will now calculate the prime factors of 57652 and 57664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57652 and 57664.

How to find the GCF of 57652 and 57664?

We will first find the prime factorization of 57652 and 57664. After we will calculate the factors of 57652 and 57664 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57664

Prime factors of 57664 are 2, 17, 53. Prime factorization of 57664 in exponential form is:

57664 = 2⁶ × 17¹ × 53¹

Step-3: Factors of 57652

List of positive integer factors of 57652 that divides 57652 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

Step-4: Factors of 57664

List of positive integer factors of 57664 that divides 57652 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 53, 64, 68, 106, 136, 212, 272, 424, 544, 848, 901, 1088, 1696, 1802, 3392, 3604, 7208, 14416, 28832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57652 and 57664. The biggest common factor number is the GCF number.
So the greatest common factor 57652 and 57664 is 4.

Also check out the Least Common Multiple of 57652 and 57664