What is the Greatest Common Factor of 75237 and 75252?

Greatest common factor (GCF) of 75237 and 75252 is 3.

GCF(75237,75252) = 3

We will now calculate the prime factors of 75237 and 75252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75237 and 75252.

How to find the GCF of 75237 and 75252?

We will first find the prime factorization of 75237 and 75252. After we will calculate the factors of 75237 and 75252 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75252

Prime factors of 75252 are 2, 3, 6271. Prime factorization of 75252 in exponential form is:

75252 = 2² × 3¹ × 6271¹

Step-3: Factors of 75237

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

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

Step-4: Factors of 75252

List of positive integer factors of 75252 that divides 75237 without a remainder.

1, 2, 3, 4, 6, 12, 6271, 12542, 18813, 25084, 37626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75237 and 75252. The biggest common factor number is the GCF number.
So the greatest common factor 75237 and 75252 is 3.

Also check out the Least Common Multiple of 75237 and 75252