What is the Greatest Common Factor of 59600 and 59616?

Greatest common factor (GCF) of 59600 and 59616 is 16.

GCF(59600,59616) = 16

We will now calculate the prime factors of 59600 and 59616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59600 and 59616.

How to find the GCF of 59600 and 59616?

We will first find the prime factorization of 59600 and 59616. After we will calculate the factors of 59600 and 59616 and find the biggest common factor number .

Step-1: Prime Factorization of 59600

Prime factors of 59600 are 2, 5, 149. Prime factorization of 59600 in exponential form is:

59600 = 2⁴ × 5² × 149¹

Step-2: 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-3: Factors of 59600

List of positive integer factors of 59600 that divides 59600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 149, 200, 298, 400, 596, 745, 1192, 1490, 2384, 2980, 3725, 5960, 7450, 11920, 14900, 29800

Step-4: Factors of 59616

List of positive integer factors of 59616 that divides 59600 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59600 and 59616. The biggest common factor number is the GCF number.
So the greatest common factor 59600 and 59616 is 16.

Also check out the Least Common Multiple of 59600 and 59616