What is the Greatest Common Factor of 37675 and 37686?

Greatest common factor (GCF) of 37675 and 37686 is 11.

GCF(37675,37686) = 11

We will now calculate the prime factors of 37675 and 37686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37675 and 37686.

How to find the GCF of 37675 and 37686?

We will first find the prime factorization of 37675 and 37686. After we will calculate the factors of 37675 and 37686 and find the biggest common factor number .

Step-1: Prime Factorization of 37675

Prime factors of 37675 are 5, 11, 137. Prime factorization of 37675 in exponential form is:

37675 = 5² × 11¹ × 137¹

Step-2: Prime Factorization of 37686

Prime factors of 37686 are 2, 3, 11, 571. Prime factorization of 37686 in exponential form is:

37686 = 2¹ × 3¹ × 11¹ × 571¹

Step-3: Factors of 37675

List of positive integer factors of 37675 that divides 37675 without a remainder.

1, 5, 11, 25, 55, 137, 275, 685, 1507, 3425, 7535

Step-4: Factors of 37686

List of positive integer factors of 37686 that divides 37675 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 571, 1142, 1713, 3426, 6281, 12562, 18843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37675 and 37686. The biggest common factor number is the GCF number.
So the greatest common factor 37675 and 37686 is 11.

Also check out the Least Common Multiple of 37675 and 37686