What is the Greatest Common Factor of 37672 and 37684?

Greatest common factor (GCF) of 37672 and 37684 is 4.

GCF(37672,37684) = 4

We will now calculate the prime factors of 37672 and 37684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37672 and 37684.

How to find the GCF of 37672 and 37684?

We will first find the prime factorization of 37672 and 37684. After we will calculate the factors of 37672 and 37684 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 37684

Prime factors of 37684 are 2, 9421. Prime factorization of 37684 in exponential form is:

37684 = 2² × 9421¹

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 37684

List of positive integer factors of 37684 that divides 37672 without a remainder.

1, 2, 4, 9421, 18842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37672 and 37684. The biggest common factor number is the GCF number.
So the greatest common factor 37672 and 37684 is 4.

Also check out the Least Common Multiple of 37672 and 37684