What is the Greatest Common Factor of 37600 and 37616?

Greatest common factor (GCF) of 37600 and 37616 is 16.

GCF(37600,37616) = 16

We will now calculate the prime factors of 37600 and 37616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37600 and 37616.

How to find the GCF of 37600 and 37616?

We will first find the prime factorization of 37600 and 37616. After we will calculate the factors of 37600 and 37616 and find the biggest common factor number .

Step-1: Prime Factorization of 37600

Prime factors of 37600 are 2, 5, 47. Prime factorization of 37600 in exponential form is:

37600 = 2⁵ × 5² × 47¹

Step-2: Prime Factorization of 37616

Prime factors of 37616 are 2, 2351. Prime factorization of 37616 in exponential form is:

37616 = 2⁴ × 2351¹

Step-3: Factors of 37600

List of positive integer factors of 37600 that divides 37600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 47, 50, 80, 94, 100, 160, 188, 200, 235, 376, 400, 470, 752, 800, 940, 1175, 1504, 1880, 2350, 3760, 4700, 7520, 9400, 18800

Step-4: Factors of 37616

List of positive integer factors of 37616 that divides 37600 without a remainder.

1, 2, 4, 8, 16, 2351, 4702, 9404, 18808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37600 and 37616. The biggest common factor number is the GCF number.
So the greatest common factor 37600 and 37616 is 16.

Also check out the Least Common Multiple of 37600 and 37616