What is the Greatest Common Factor of 37817 and 37828?

Greatest common factor (GCF) of 37817 and 37828 is 1.

GCF(37817,37828) = 1

We will now calculate the prime factors of 37817 and 37828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37817 and 37828.

How to find the GCF of 37817 and 37828?

We will first find the prime factorization of 37817 and 37828. After we will calculate the factors of 37817 and 37828 and find the biggest common factor number .

Step-1: Prime Factorization of 37817

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

37817 = 13¹ × 2909¹

Step-2: Prime Factorization of 37828

Prime factors of 37828 are 2, 7, 193. Prime factorization of 37828 in exponential form is:

37828 = 2² × 7² × 193¹

Step-3: Factors of 37817

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

1, 13, 2909

Step-4: Factors of 37828

List of positive integer factors of 37828 that divides 37817 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 193, 196, 386, 772, 1351, 2702, 5404, 9457, 18914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37817 and 37828. The biggest common factor number is the GCF number.
So the greatest common factor 37817 and 37828 is 1.

Also check out the Least Common Multiple of 37817 and 37828