What is the Greatest Common Factor of 75100 and 75115?

Greatest common factor (GCF) of 75100 and 75115 is 5.

GCF(75100,75115) = 5

We will now calculate the prime factors of 75100 and 75115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75100 and 75115.

How to find the GCF of 75100 and 75115?

We will first find the prime factorization of 75100 and 75115. After we will calculate the factors of 75100 and 75115 and find the biggest common factor number .

Step-1: Prime Factorization of 75100

Prime factors of 75100 are 2, 5, 751. Prime factorization of 75100 in exponential form is:

75100 = 2² × 5² × 751¹

Step-2: Prime Factorization of 75115

Prime factors of 75115 are 5, 83, 181. Prime factorization of 75115 in exponential form is:

75115 = 5¹ × 83¹ × 181¹

Step-3: Factors of 75100

List of positive integer factors of 75100 that divides 75100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 751, 1502, 3004, 3755, 7510, 15020, 18775, 37550

Step-4: Factors of 75115

List of positive integer factors of 75115 that divides 75100 without a remainder.

1, 5, 83, 181, 415, 905, 15023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75100 and 75115. The biggest common factor number is the GCF number.
So the greatest common factor 75100 and 75115 is 5.

Also check out the Least Common Multiple of 75100 and 75115