What is the Greatest Common Factor of 37812 and 37817?

Greatest common factor (GCF) of 37812 and 37817 is 1.

GCF(37812,37817) = 1

We will now calculate the prime factors of 37812 and 37817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37812 and 37817.

How to find the GCF of 37812 and 37817?

We will first find the prime factorization of 37812 and 37817. After we will calculate the factors of 37812 and 37817 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37817

Prime factors of 37817 are 13, 2909. Prime factorization of 37817 in exponential form is:

37817 = 13¹ × 2909¹

Step-3: Factors of 37812

List of positive integer factors of 37812 that divides 37812 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

Step-4: Factors of 37817

List of positive integer factors of 37817 that divides 37812 without a remainder.

1, 13, 2909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37812 and 37817. The biggest common factor number is the GCF number.
So the greatest common factor 37812 and 37817 is 1.

Also check out the Least Common Multiple of 37812 and 37817