What is the Greatest Common Factor of 57648 and 57664?

Greatest common factor (GCF) of 57648 and 57664 is 16.

GCF(57648,57664) = 16

We will now calculate the prime factors of 57648 and 57664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57648 and 57664.

How to find the GCF of 57648 and 57664?

We will first find the prime factorization of 57648 and 57664. After we will calculate the factors of 57648 and 57664 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 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 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 57664

List of positive integer factors of 57664 that divides 57648 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 57648 and 57664. The biggest common factor number is the GCF number.
So the greatest common factor 57648 and 57664 is 16.

Also check out the Least Common Multiple of 57648 and 57664