What is the Greatest Common Factor of 37612 and 37630?

Greatest common factor (GCF) of 37612 and 37630 is 2.

GCF(37612,37630) = 2

We will now calculate the prime factors of 37612 and 37630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37612 and 37630.

How to find the GCF of 37612 and 37630?

We will first find the prime factorization of 37612 and 37630. After we will calculate the factors of 37612 and 37630 and find the biggest common factor number .

Step-1: Prime Factorization of 37612

Prime factors of 37612 are 2, 9403. Prime factorization of 37612 in exponential form is:

37612 = 2² × 9403¹

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 37612

List of positive integer factors of 37612 that divides 37612 without a remainder.

1, 2, 4, 9403, 18806

Step-4: Factors of 37630

List of positive integer factors of 37630 that divides 37612 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 37612 and 37630. The biggest common factor number is the GCF number.
So the greatest common factor 37612 and 37630 is 2.

Also check out the Least Common Multiple of 37612 and 37630