What is the Greatest Common Factor of 59168 and 59180?

Greatest common factor (GCF) of 59168 and 59180 is 4.

GCF(59168,59180) = 4

We will now calculate the prime factors of 59168 and 59180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59168 and 59180.

How to find the GCF of 59168 and 59180?

We will first find the prime factorization of 59168 and 59180. After we will calculate the factors of 59168 and 59180 and find the biggest common factor number .

Step-1: Prime Factorization of 59168

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

59168 = 2⁵ × 43²

Step-2: Prime Factorization of 59180

Prime factors of 59180 are 2, 5, 11, 269. Prime factorization of 59180 in exponential form is:

59180 = 2² × 5¹ × 11¹ × 269¹

Step-3: Factors of 59168

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

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

Step-4: Factors of 59180

List of positive integer factors of 59180 that divides 59168 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 269, 538, 1076, 1345, 2690, 2959, 5380, 5918, 11836, 14795, 29590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59168 and 59180. The biggest common factor number is the GCF number.
So the greatest common factor 59168 and 59180 is 4.

Also check out the Least Common Multiple of 59168 and 59180