What is the Greatest Common Factor of 75088 and 75100?

Greatest common factor (GCF) of 75088 and 75100 is 4.

GCF(75088,75100) = 4

We will now calculate the prime factors of 75088 and 75100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75088 and 75100.

How to find the GCF of 75088 and 75100?

We will first find the prime factorization of 75088 and 75100. After we will calculate the factors of 75088 and 75100 and find the biggest common factor number .

Step-1: Prime Factorization of 75088

Prime factors of 75088 are 2, 13, 19. Prime factorization of 75088 in exponential form is:

75088 = 2⁴ × 13¹ × 19²

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 75088

List of positive integer factors of 75088 that divides 75088 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 361, 494, 722, 988, 1444, 1976, 2888, 3952, 4693, 5776, 9386, 18772, 37544

Step-4: Factors of 75100

List of positive integer factors of 75100 that divides 75088 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 75088 and 75100. The biggest common factor number is the GCF number.
So the greatest common factor 75088 and 75100 is 4.

Also check out the Least Common Multiple of 75088 and 75100