What is the Greatest Common Factor of 75228 and 75237?

Greatest common factor (GCF) of 75228 and 75237 is 3.

GCF(75228,75237) = 3

We will now calculate the prime factors of 75228 and 75237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75228 and 75237.

How to find the GCF of 75228 and 75237?

We will first find the prime factorization of 75228 and 75237. After we will calculate the factors of 75228 and 75237 and find the biggest common factor number .

Step-1: Prime Factorization of 75228

Prime factors of 75228 are 2, 3, 6269. Prime factorization of 75228 in exponential form is:

75228 = 2² × 3¹ × 6269¹

Step-2: Prime Factorization of 75237

Prime factors of 75237 are 3, 31, 809. Prime factorization of 75237 in exponential form is:

75237 = 3¹ × 31¹ × 809¹

Step-3: Factors of 75228

List of positive integer factors of 75228 that divides 75228 without a remainder.

1, 2, 3, 4, 6, 12, 6269, 12538, 18807, 25076, 37614

Step-4: Factors of 75237

List of positive integer factors of 75237 that divides 75228 without a remainder.

1, 3, 31, 93, 809, 2427, 25079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75228 and 75237. The biggest common factor number is the GCF number.
So the greatest common factor 75228 and 75237 is 3.

Also check out the Least Common Multiple of 75228 and 75237