What is the Greatest Common Factor of 59112 and 59125?

Greatest common factor (GCF) of 59112 and 59125 is 1.

GCF(59112,59125) = 1

We will now calculate the prime factors of 59112 and 59125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59112 and 59125.

How to find the GCF of 59112 and 59125?

We will first find the prime factorization of 59112 and 59125. After we will calculate the factors of 59112 and 59125 and find the biggest common factor number .

Step-1: Prime Factorization of 59112

Prime factors of 59112 are 2, 3, 821. Prime factorization of 59112 in exponential form is:

59112 = 2³ × 3² × 821¹

Step-2: Prime Factorization of 59125

Prime factors of 59125 are 5, 11, 43. Prime factorization of 59125 in exponential form is:

59125 = 5³ × 11¹ × 43¹

Step-3: Factors of 59112

List of positive integer factors of 59112 that divides 59112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 821, 1642, 2463, 3284, 4926, 6568, 7389, 9852, 14778, 19704, 29556

Step-4: Factors of 59125

List of positive integer factors of 59125 that divides 59112 without a remainder.

1, 5, 11, 25, 43, 55, 125, 215, 275, 473, 1075, 1375, 2365, 5375, 11825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59112 and 59125. The biggest common factor number is the GCF number.
So the greatest common factor 59112 and 59125 is 1.

Also check out the Least Common Multiple of 59112 and 59125