What is the Greatest Common Factor of 37242 and 37251?

Greatest common factor (GCF) of 37242 and 37251 is 9.

GCF(37242,37251) = 9

We will now calculate the prime factors of 37242 and 37251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37242 and 37251.

How to find the GCF of 37242 and 37251?

We will first find the prime factorization of 37242 and 37251. After we will calculate the factors of 37242 and 37251 and find the biggest common factor number .

Step-1: Prime Factorization of 37242

Prime factors of 37242 are 2, 3, 2069. Prime factorization of 37242 in exponential form is:

37242 = 2¹ × 3² × 2069¹

Step-2: Prime Factorization of 37251

Prime factors of 37251 are 3, 4139. Prime factorization of 37251 in exponential form is:

37251 = 3² × 4139¹

Step-3: Factors of 37242

List of positive integer factors of 37242 that divides 37242 without a remainder.

1, 2, 3, 6, 9, 18, 2069, 4138, 6207, 12414, 18621

Step-4: Factors of 37251

List of positive integer factors of 37251 that divides 37242 without a remainder.

1, 3, 9, 4139, 12417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37242 and 37251. The biggest common factor number is the GCF number.
So the greatest common factor 37242 and 37251 is 9.

Also check out the Least Common Multiple of 37242 and 37251