What is the Greatest Common Factor of 75800 and 75812?

Greatest common factor (GCF) of 75800 and 75812 is 4.

GCF(75800,75812) = 4

We will now calculate the prime factors of 75800 and 75812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75800 and 75812.

How to find the GCF of 75800 and 75812?

We will first find the prime factorization of 75800 and 75812. After we will calculate the factors of 75800 and 75812 and find the biggest common factor number .

Step-1: Prime Factorization of 75800

Prime factors of 75800 are 2, 5, 379. Prime factorization of 75800 in exponential form is:

75800 = 2³ × 5² × 379¹

Step-2: Prime Factorization of 75812

Prime factors of 75812 are 2, 11, 1723. Prime factorization of 75812 in exponential form is:

75812 = 2² × 11¹ × 1723¹

Step-3: Factors of 75800

List of positive integer factors of 75800 that divides 75800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 379, 758, 1516, 1895, 3032, 3790, 7580, 9475, 15160, 18950, 37900

Step-4: Factors of 75812

List of positive integer factors of 75812 that divides 75800 without a remainder.

1, 2, 4, 11, 22, 44, 1723, 3446, 6892, 18953, 37906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75800 and 75812. The biggest common factor number is the GCF number.
So the greatest common factor 75800 and 75812 is 4.

Also check out the Least Common Multiple of 75800 and 75812