What is the Greatest Common Factor of 59664 and 59684?

Greatest common factor (GCF) of 59664 and 59684 is 4.

GCF(59664,59684) = 4

We will now calculate the prime factors of 59664 and 59684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59664 and 59684.

How to find the GCF of 59664 and 59684?

We will first find the prime factorization of 59664 and 59684. After we will calculate the factors of 59664 and 59684 and find the biggest common factor number .

Step-1: Prime Factorization of 59664

Prime factors of 59664 are 2, 3, 11, 113. Prime factorization of 59664 in exponential form is:

59664 = 2⁴ × 3¹ × 11¹ × 113¹

Step-2: Prime Factorization of 59684

Prime factors of 59684 are 2, 43, 347. Prime factorization of 59684 in exponential form is:

59684 = 2² × 43¹ × 347¹

Step-3: Factors of 59664

List of positive integer factors of 59664 that divides 59664 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 113, 132, 176, 226, 264, 339, 452, 528, 678, 904, 1243, 1356, 1808, 2486, 2712, 3729, 4972, 5424, 7458, 9944, 14916, 19888, 29832

Step-4: Factors of 59684

List of positive integer factors of 59684 that divides 59664 without a remainder.

1, 2, 4, 43, 86, 172, 347, 694, 1388, 14921, 29842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59664 and 59684. The biggest common factor number is the GCF number.
So the greatest common factor 59664 and 59684 is 4.

Also check out the Least Common Multiple of 59664 and 59684