What is the Greatest Common Factor of 57672 and 57688?

Greatest common factor (GCF) of 57672 and 57688 is 8.

GCF(57672,57688) = 8

We will now calculate the prime factors of 57672 and 57688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57672 and 57688.

How to find the GCF of 57672 and 57688?

We will first find the prime factorization of 57672 and 57688. After we will calculate the factors of 57672 and 57688 and find the biggest common factor number .

Step-1: Prime Factorization of 57672

Prime factors of 57672 are 2, 3, 89. Prime factorization of 57672 in exponential form is:

57672 = 2³ × 3⁴ × 89¹

Step-2: Prime Factorization of 57688

Prime factors of 57688 are 2, 7211. Prime factorization of 57688 in exponential form is:

57688 = 2³ × 7211¹

Step-3: Factors of 57672

List of positive integer factors of 57672 that divides 57672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 89, 108, 162, 178, 216, 267, 324, 356, 534, 648, 712, 801, 1068, 1602, 2136, 2403, 3204, 4806, 6408, 7209, 9612, 14418, 19224, 28836

Step-4: Factors of 57688

List of positive integer factors of 57688 that divides 57672 without a remainder.

1, 2, 4, 8, 7211, 14422, 28844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57672 and 57688. The biggest common factor number is the GCF number.
So the greatest common factor 57672 and 57688 is 8.

Also check out the Least Common Multiple of 57672 and 57688