What is the Greatest Common Factor of 58095 and 58115?

Greatest common factor (GCF) of 58095 and 58115 is 5.

GCF(58095,58115) = 5

We will now calculate the prime factors of 58095 and 58115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58095 and 58115.

How to find the GCF of 58095 and 58115?

We will first find the prime factorization of 58095 and 58115. After we will calculate the factors of 58095 and 58115 and find the biggest common factor number .

Step-1: Prime Factorization of 58095

Prime factors of 58095 are 3, 5, 1291. Prime factorization of 58095 in exponential form is:

58095 = 3² × 5¹ × 1291¹

Step-2: Prime Factorization of 58115

Prime factors of 58115 are 5, 59, 197. Prime factorization of 58115 in exponential form is:

58115 = 5¹ × 59¹ × 197¹

Step-3: Factors of 58095

List of positive integer factors of 58095 that divides 58095 without a remainder.

1, 3, 5, 9, 15, 45, 1291, 3873, 6455, 11619, 19365

Step-4: Factors of 58115

List of positive integer factors of 58115 that divides 58095 without a remainder.

1, 5, 59, 197, 295, 985, 11623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58095 and 58115. The biggest common factor number is the GCF number.
So the greatest common factor 58095 and 58115 is 5.

Also check out the Least Common Multiple of 58095 and 58115