What is the Greatest Common Factor of 59616 and 59632?

Greatest common factor (GCF) of 59616 and 59632 is 16.

GCF(59616,59632) = 16

We will now calculate the prime factors of 59616 and 59632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59616 and 59632.

How to find the GCF of 59616 and 59632?

We will first find the prime factorization of 59616 and 59632. After we will calculate the factors of 59616 and 59632 and find the biggest common factor number .

Step-1: Prime Factorization of 59616

Prime factors of 59616 are 2, 3, 23. Prime factorization of 59616 in exponential form is:

59616 = 2⁵ × 3⁴ × 23¹

Step-2: Prime Factorization of 59632

Prime factors of 59632 are 2, 3727. Prime factorization of 59632 in exponential form is:

59632 = 2⁴ × 3727¹

Step-3: Factors of 59616

List of positive integer factors of 59616 that divides 59616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 32, 36, 46, 48, 54, 69, 72, 81, 92, 96, 108, 138, 144, 162, 184, 207, 216, 276, 288, 324, 368, 414, 432, 552, 621, 648, 736, 828, 864, 1104, 1242, 1296, 1656, 1863, 2208, 2484, 2592, 3312, 3726, 4968, 6624, 7452, 9936, 14904, 19872, 29808

Step-4: Factors of 59632

List of positive integer factors of 59632 that divides 59616 without a remainder.

1, 2, 4, 8, 16, 3727, 7454, 14908, 29816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59616 and 59632. The biggest common factor number is the GCF number.
So the greatest common factor 59616 and 59632 is 16.

Also check out the Least Common Multiple of 59616 and 59632