What is the Greatest Common Factor of 59148 and 59168?

Greatest common factor (GCF) of 59148 and 59168 is 4.

GCF(59148,59168) = 4

We will now calculate the prime factors of 59148 and 59168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59148 and 59168.

How to find the GCF of 59148 and 59168?

We will first find the prime factorization of 59148 and 59168. After we will calculate the factors of 59148 and 59168 and find the biggest common factor number .

Step-1: Prime Factorization of 59148

Prime factors of 59148 are 2, 3, 31, 53. Prime factorization of 59148 in exponential form is:

59148 = 2² × 3² × 31¹ × 53¹

Step-2: Prime Factorization of 59168

Prime factors of 59168 are 2, 43. Prime factorization of 59168 in exponential form is:

59168 = 2⁵ × 43²

Step-3: Factors of 59148

List of positive integer factors of 59148 that divides 59148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 53, 62, 93, 106, 124, 159, 186, 212, 279, 318, 372, 477, 558, 636, 954, 1116, 1643, 1908, 3286, 4929, 6572, 9858, 14787, 19716, 29574

Step-4: Factors of 59168

List of positive integer factors of 59168 that divides 59148 without a remainder.

1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376, 1849, 3698, 7396, 14792, 29584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59148 and 59168. The biggest common factor number is the GCF number.
So the greatest common factor 59148 and 59168 is 4.

Also check out the Least Common Multiple of 59148 and 59168