What is the Greatest Common Factor of 60095 and 60115?

Greatest common factor (GCF) of 60095 and 60115 is 5.

GCF(60095,60115) = 5

We will now calculate the prime factors of 60095 and 60115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60095 and 60115.

How to find the GCF of 60095 and 60115?

We will first find the prime factorization of 60095 and 60115. After we will calculate the factors of 60095 and 60115 and find the biggest common factor number .

Step-1: Prime Factorization of 60095

Prime factors of 60095 are 5, 7, 17, 101. Prime factorization of 60095 in exponential form is:

60095 = 5¹ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 60115

Prime factors of 60115 are 5, 11, 1093. Prime factorization of 60115 in exponential form is:

60115 = 5¹ × 11¹ × 1093¹

Step-3: Factors of 60095

List of positive integer factors of 60095 that divides 60095 without a remainder.

1, 5, 7, 17, 35, 85, 101, 119, 505, 595, 707, 1717, 3535, 8585, 12019

Step-4: Factors of 60115

List of positive integer factors of 60115 that divides 60095 without a remainder.

1, 5, 11, 55, 1093, 5465, 12023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60095 and 60115. The biggest common factor number is the GCF number.
So the greatest common factor 60095 and 60115 is 5.

Also check out the Least Common Multiple of 60095 and 60115