What is the Greatest Common Factor of 37794 and 37812?

Greatest common factor (GCF) of 37794 and 37812 is 6.

GCF(37794,37812) = 6

We will now calculate the prime factors of 37794 and 37812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37794 and 37812.

How to find the GCF of 37794 and 37812?

We will first find the prime factorization of 37794 and 37812. After we will calculate the factors of 37794 and 37812 and find the biggest common factor number .

Step-1: Prime Factorization of 37794

Prime factors of 37794 are 2, 3, 6299. Prime factorization of 37794 in exponential form is:

37794 = 2¹ × 3¹ × 6299¹

Step-2: Prime Factorization of 37812

Prime factors of 37812 are 2, 3, 23, 137. Prime factorization of 37812 in exponential form is:

37812 = 2² × 3¹ × 23¹ × 137¹

Step-3: Factors of 37794

List of positive integer factors of 37794 that divides 37794 without a remainder.

1, 2, 3, 6, 6299, 12598, 18897

Step-4: Factors of 37812

List of positive integer factors of 37812 that divides 37794 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 137, 138, 274, 276, 411, 548, 822, 1644, 3151, 6302, 9453, 12604, 18906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37794 and 37812. The biggest common factor number is the GCF number.
So the greatest common factor 37794 and 37812 is 6.

Also check out the Least Common Multiple of 37794 and 37812