What is the Greatest Common Factor of 59125 and 59145?

Greatest common factor (GCF) of 59125 and 59145 is 5.

GCF(59125,59145) = 5

We will now calculate the prime factors of 59125 and 59145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59125 and 59145.

How to find the GCF of 59125 and 59145?

We will first find the prime factorization of 59125 and 59145. After we will calculate the factors of 59125 and 59145 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59145

Prime factors of 59145 are 3, 5, 3943. Prime factorization of 59145 in exponential form is:

59145 = 3¹ × 5¹ × 3943¹

Step-3: Factors of 59125

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

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

Step-4: Factors of 59145

List of positive integer factors of 59145 that divides 59125 without a remainder.

1, 3, 5, 15, 3943, 11829, 19715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59125 and 59145. The biggest common factor number is the GCF number.
So the greatest common factor 59125 and 59145 is 5.

Also check out the Least Common Multiple of 59125 and 59145