What is the Greatest Common Factor of 59616 and 59635?

Greatest common factor (GCF) of 59616 and 59635 is 1.

GCF(59616,59635) = 1

We will now calculate the prime factors of 59616 and 59635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59616 and 59635.

How to find the GCF of 59616 and 59635?

We will first find the prime factorization of 59616 and 59635. After we will calculate the factors of 59616 and 59635 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 59635

Prime factors of 59635 are 5, 11927. Prime factorization of 59635 in exponential form is:

59635 = 5¹ × 11927¹

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 59635

List of positive integer factors of 59635 that divides 59616 without a remainder.

1, 5, 11927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59616 and 59635. The biggest common factor number is the GCF number.
So the greatest common factor 59616 and 59635 is 1.

Also check out the Least Common Multiple of 59616 and 59635