What is the Greatest Common Factor of 57664 and 57672?

Greatest common factor (GCF) of 57664 and 57672 is 8.

GCF(57664,57672) = 8

We will now calculate the prime factors of 57664 and 57672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57664 and 57672.

How to find the GCF of 57664 and 57672?

We will first find the prime factorization of 57664 and 57672. After we will calculate the factors of 57664 and 57672 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 57664

List of positive integer factors of 57664 that divides 57664 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

Step-4: Factors of 57672

List of positive integer factors of 57672 that divides 57664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57664 and 57672. The biggest common factor number is the GCF number.
So the greatest common factor 57664 and 57672 is 8.

Also check out the Least Common Multiple of 57664 and 57672