What is the Greatest Common Factor of 37444 and 37456?

Greatest common factor (GCF) of 37444 and 37456 is 4.

GCF(37444,37456) = 4

We will now calculate the prime factors of 37444 and 37456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37444 and 37456.

How to find the GCF of 37444 and 37456?

We will first find the prime factorization of 37444 and 37456. After we will calculate the factors of 37444 and 37456 and find the biggest common factor number .

Step-1: Prime Factorization of 37444

Prime factors of 37444 are 2, 11, 23, 37. Prime factorization of 37444 in exponential form is:

37444 = 2² × 11¹ × 23¹ × 37¹

Step-2: Prime Factorization of 37456

Prime factors of 37456 are 2, 2341. Prime factorization of 37456 in exponential form is:

37456 = 2⁴ × 2341¹

Step-3: Factors of 37444

List of positive integer factors of 37444 that divides 37444 without a remainder.

1, 2, 4, 11, 22, 23, 37, 44, 46, 74, 92, 148, 253, 407, 506, 814, 851, 1012, 1628, 1702, 3404, 9361, 18722

Step-4: Factors of 37456

List of positive integer factors of 37456 that divides 37444 without a remainder.

1, 2, 4, 8, 16, 2341, 4682, 9364, 18728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37444 and 37456. The biggest common factor number is the GCF number.
So the greatest common factor 37444 and 37456 is 4.

Also check out the Least Common Multiple of 37444 and 37456