What is the Greatest Common Factor of 37456 and 37472?

Greatest common factor (GCF) of 37456 and 37472 is 16.

GCF(37456,37472) = 16

We will now calculate the prime factors of 37456 and 37472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37456 and 37472.

How to find the GCF of 37456 and 37472?

We will first find the prime factorization of 37456 and 37472. After we will calculate the factors of 37456 and 37472 and find the biggest common factor number .

Step-1: Prime Factorization of 37456

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

37456 = 2⁴ × 2341¹

Step-2: Prime Factorization of 37472

Prime factors of 37472 are 2, 1171. Prime factorization of 37472 in exponential form is:

37472 = 2⁵ × 1171¹

Step-3: Factors of 37456

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

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

Step-4: Factors of 37472

List of positive integer factors of 37472 that divides 37456 without a remainder.

1, 2, 4, 8, 16, 32, 1171, 2342, 4684, 9368, 18736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37456 and 37472. The biggest common factor number is the GCF number.
So the greatest common factor 37456 and 37472 is 16.

Also check out the Least Common Multiple of 37456 and 37472