What is the Greatest Common Factor of 75095 and 75100?

Greatest common factor (GCF) of 75095 and 75100 is 5.

GCF(75095,75100) = 5

We will now calculate the prime factors of 75095 and 75100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75095 and 75100.

How to find the GCF of 75095 and 75100?

We will first find the prime factorization of 75095 and 75100. After we will calculate the factors of 75095 and 75100 and find the biggest common factor number .

Step-1: Prime Factorization of 75095

Prime factors of 75095 are 5, 23, 653. Prime factorization of 75095 in exponential form is:

75095 = 5¹ × 23¹ × 653¹

Step-2: 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-3: Factors of 75095

List of positive integer factors of 75095 that divides 75095 without a remainder.

1, 5, 23, 115, 653, 3265, 15019

Step-4: Factors of 75100

List of positive integer factors of 75100 that divides 75095 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75095 and 75100. The biggest common factor number is the GCF number.
So the greatest common factor 75095 and 75100 is 5.

Also check out the Least Common Multiple of 75095 and 75100