What is the Greatest Common Factor of 37444 and 37455?

Greatest common factor (GCF) of 37444 and 37455 is 11.

GCF(37444,37455) = 11

We will now calculate the prime factors of 37444 and 37455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37444 and 37455.

How to find the GCF of 37444 and 37455?

We will first find the prime factorization of 37444 and 37455. After we will calculate the factors of 37444 and 37455 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 37455

Prime factors of 37455 are 3, 5, 11, 227. Prime factorization of 37455 in exponential form is:

37455 = 3¹ × 5¹ × 11¹ × 227¹

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 37455

List of positive integer factors of 37455 that divides 37444 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 227, 681, 1135, 2497, 3405, 7491, 12485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37444 and 37455. The biggest common factor number is the GCF number.
So the greatest common factor 37444 and 37455 is 11.

Also check out the Least Common Multiple of 37444 and 37455