What is the Greatest Common Factor of 37688 and 37692?

Greatest common factor (GCF) of 37688 and 37692 is 4.

GCF(37688,37692) = 4

We will now calculate the prime factors of 37688 and 37692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37688 and 37692.

How to find the GCF of 37688 and 37692?

We will first find the prime factorization of 37688 and 37692. After we will calculate the factors of 37688 and 37692 and find the biggest common factor number .

Step-1: Prime Factorization of 37688

Prime factors of 37688 are 2, 7, 673. Prime factorization of 37688 in exponential form is:

37688 = 2³ × 7¹ × 673¹

Step-2: Prime Factorization of 37692

Prime factors of 37692 are 2, 3, 349. Prime factorization of 37692 in exponential form is:

37692 = 2² × 3³ × 349¹

Step-3: Factors of 37688

List of positive integer factors of 37688 that divides 37688 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 673, 1346, 2692, 4711, 5384, 9422, 18844

Step-4: Factors of 37692

List of positive integer factors of 37692 that divides 37688 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 349, 698, 1047, 1396, 2094, 3141, 4188, 6282, 9423, 12564, 18846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37688 and 37692. The biggest common factor number is the GCF number.
So the greatest common factor 37688 and 37692 is 4.

Also check out the Least Common Multiple of 37688 and 37692