What is the Greatest Common Factor of 37616 and 37634?

Greatest common factor (GCF) of 37616 and 37634 is 2.

GCF(37616,37634) = 2

We will now calculate the prime factors of 37616 and 37634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37616 and 37634.

How to find the GCF of 37616 and 37634?

We will first find the prime factorization of 37616 and 37634. After we will calculate the factors of 37616 and 37634 and find the biggest common factor number .

Step-1: Prime Factorization of 37616

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

37616 = 2⁴ × 2351¹

Step-2: Prime Factorization of 37634

Prime factors of 37634 are 2, 31, 607. Prime factorization of 37634 in exponential form is:

37634 = 2¹ × 31¹ × 607¹

Step-3: Factors of 37616

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

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

Step-4: Factors of 37634

List of positive integer factors of 37634 that divides 37616 without a remainder.

1, 2, 31, 62, 607, 1214, 18817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37616 and 37634. The biggest common factor number is the GCF number.
So the greatest common factor 37616 and 37634 is 2.

Also check out the Least Common Multiple of 37616 and 37634