What is the Greatest Common Factor of 37428 and 37444?

Greatest common factor (GCF) of 37428 and 37444 is 4.

GCF(37428,37444) = 4

We will now calculate the prime factors of 37428 and 37444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37428 and 37444.

How to find the GCF of 37428 and 37444?

We will first find the prime factorization of 37428 and 37444. After we will calculate the factors of 37428 and 37444 and find the biggest common factor number .

Step-1: Prime Factorization of 37428

Prime factors of 37428 are 2, 3, 3119. Prime factorization of 37428 in exponential form is:

37428 = 2² × 3¹ × 3119¹

Step-2: 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-3: Factors of 37428

List of positive integer factors of 37428 that divides 37428 without a remainder.

1, 2, 3, 4, 6, 12, 3119, 6238, 9357, 12476, 18714

Step-4: Factors of 37444

List of positive integer factors of 37444 that divides 37428 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37428 and 37444. The biggest common factor number is the GCF number.
So the greatest common factor 37428 and 37444 is 4.

Also check out the Least Common Multiple of 37428 and 37444