What is the Greatest Common Factor of 37672 and 37687?

Greatest common factor (GCF) of 37672 and 37687 is 1.

GCF(37672,37687) = 1

We will now calculate the prime factors of 37672 and 37687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37672 and 37687.

How to find the GCF of 37672 and 37687?

We will first find the prime factorization of 37672 and 37687. After we will calculate the factors of 37672 and 37687 and find the biggest common factor number .

Step-1: Prime Factorization of 37672

Prime factors of 37672 are 2, 17, 277. Prime factorization of 37672 in exponential form is:

37672 = 2³ × 17¹ × 277¹

Step-2: Prime Factorization of 37687

Prime factors of 37687 are 13, 223. Prime factorization of 37687 in exponential form is:

37687 = 13² × 223¹

Step-3: Factors of 37672

List of positive integer factors of 37672 that divides 37672 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 277, 554, 1108, 2216, 4709, 9418, 18836

Step-4: Factors of 37687

List of positive integer factors of 37687 that divides 37672 without a remainder.

1, 13, 169, 223, 2899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37672 and 37687. The biggest common factor number is the GCF number.
So the greatest common factor 37672 and 37687 is 1.

Also check out the Least Common Multiple of 37672 and 37687