What is the Greatest Common Factor of 59132 and 59148?

Greatest common factor (GCF) of 59132 and 59148 is 4.

GCF(59132,59148) = 4

We will now calculate the prime factors of 59132 and 59148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59132 and 59148.

How to find the GCF of 59132 and 59148?

We will first find the prime factorization of 59132 and 59148. After we will calculate the factors of 59132 and 59148 and find the biggest common factor number .

Step-1: Prime Factorization of 59132

Prime factors of 59132 are 2, 14783. Prime factorization of 59132 in exponential form is:

59132 = 2² × 14783¹

Step-2: 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-3: Factors of 59132

List of positive integer factors of 59132 that divides 59132 without a remainder.

1, 2, 4, 14783, 29566

Step-4: Factors of 59148

List of positive integer factors of 59148 that divides 59132 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59132 and 59148. The biggest common factor number is the GCF number.
So the greatest common factor 59132 and 59148 is 4.

Also check out the Least Common Multiple of 59132 and 59148