What is the Greatest Common Factor of 75100 and 75108?

Greatest common factor (GCF) of 75100 and 75108 is 4.

GCF(75100,75108) = 4

We will now calculate the prime factors of 75100 and 75108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75100 and 75108.

How to find the GCF of 75100 and 75108?

We will first find the prime factorization of 75100 and 75108. After we will calculate the factors of 75100 and 75108 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 75108

Prime factors of 75108 are 2, 3, 11, 569. Prime factorization of 75108 in exponential form is:

75108 = 2² × 3¹ × 11¹ × 569¹

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 75108

List of positive integer factors of 75108 that divides 75100 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 569, 1138, 1707, 2276, 3414, 6259, 6828, 12518, 18777, 25036, 37554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75100 and 75108. The biggest common factor number is the GCF number.
So the greatest common factor 75100 and 75108 is 4.

Also check out the Least Common Multiple of 75100 and 75108