What is the Greatest Common Factor of 37616 and 37630?

Greatest common factor (GCF) of 37616 and 37630 is 2.

GCF(37616,37630) = 2

We will now calculate the prime factors of 37616 and 37630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37616 and 37630.

How to find the GCF of 37616 and 37630?

We will first find the prime factorization of 37616 and 37630. After we will calculate the factors of 37616 and 37630 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 37630

Prime factors of 37630 are 2, 5, 53, 71. Prime factorization of 37630 in exponential form is:

37630 = 2¹ × 5¹ × 53¹ × 71¹

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 37630

List of positive integer factors of 37630 that divides 37616 without a remainder.

1, 2, 5, 10, 53, 71, 106, 142, 265, 355, 530, 710, 3763, 7526, 18815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37616 and 37630. The biggest common factor number is the GCF number.
So the greatest common factor 37616 and 37630 is 2.

Also check out the Least Common Multiple of 37616 and 37630