What is the Greatest Common Factor of 75252 and 75267?

Greatest common factor (GCF) of 75252 and 75267 is 3.

GCF(75252,75267) = 3

We will now calculate the prime factors of 75252 and 75267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75252 and 75267.

How to find the GCF of 75252 and 75267?

We will first find the prime factorization of 75252 and 75267. After we will calculate the factors of 75252 and 75267 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75267

Prime factors of 75267 are 3, 8363. Prime factorization of 75267 in exponential form is:

75267 = 3² × 8363¹

Step-3: Factors of 75252

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

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

Step-4: Factors of 75267

List of positive integer factors of 75267 that divides 75252 without a remainder.

1, 3, 9, 8363, 25089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75252 and 75267. The biggest common factor number is the GCF number.
So the greatest common factor 75252 and 75267 is 3.

Also check out the Least Common Multiple of 75252 and 75267