What is the Greatest Common Factor of 37626 and 37644?

Greatest common factor (GCF) of 37626 and 37644 is 6.

GCF(37626,37644) = 6

We will now calculate the prime factors of 37626 and 37644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37626 and 37644.

How to find the GCF of 37626 and 37644?

We will first find the prime factorization of 37626 and 37644. After we will calculate the factors of 37626 and 37644 and find the biggest common factor number .

Step-1: Prime Factorization of 37626

Prime factors of 37626 are 2, 3, 6271. Prime factorization of 37626 in exponential form is:

37626 = 2¹ × 3¹ × 6271¹

Step-2: Prime Factorization of 37644

Prime factors of 37644 are 2, 3, 3137. Prime factorization of 37644 in exponential form is:

37644 = 2² × 3¹ × 3137¹

Step-3: Factors of 37626

List of positive integer factors of 37626 that divides 37626 without a remainder.

1, 2, 3, 6, 6271, 12542, 18813

Step-4: Factors of 37644

List of positive integer factors of 37644 that divides 37626 without a remainder.

1, 2, 3, 4, 6, 12, 3137, 6274, 9411, 12548, 18822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37626 and 37644. The biggest common factor number is the GCF number.
So the greatest common factor 37626 and 37644 is 6.

Also check out the Least Common Multiple of 37626 and 37644