What is the Greatest Common Factor of 37446 and 37452?

Greatest common factor (GCF) of 37446 and 37452 is 6.

GCF(37446,37452) = 6

We will now calculate the prime factors of 37446 and 37452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37446 and 37452.

How to find the GCF of 37446 and 37452?

We will first find the prime factorization of 37446 and 37452. After we will calculate the factors of 37446 and 37452 and find the biggest common factor number .

Step-1: Prime Factorization of 37446

Prime factors of 37446 are 2, 3, 79. Prime factorization of 37446 in exponential form is:

37446 = 2¹ × 3¹ × 79²

Step-2: Prime Factorization of 37452

Prime factors of 37452 are 2, 3, 3121. Prime factorization of 37452 in exponential form is:

37452 = 2² × 3¹ × 3121¹

Step-3: Factors of 37446

List of positive integer factors of 37446 that divides 37446 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474, 6241, 12482, 18723

Step-4: Factors of 37452

List of positive integer factors of 37452 that divides 37446 without a remainder.

1, 2, 3, 4, 6, 12, 3121, 6242, 9363, 12484, 18726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37446 and 37452. The biggest common factor number is the GCF number.
So the greatest common factor 37446 and 37452 is 6.

Also check out the Least Common Multiple of 37446 and 37452