What is the Greatest Common Factor of 37047 and 37056?

Greatest common factor (GCF) of 37047 and 37056 is 3.

GCF(37047,37056) = 3

We will now calculate the prime factors of 37047 and 37056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37047 and 37056.

How to find the GCF of 37047 and 37056?

We will first find the prime factorization of 37047 and 37056. After we will calculate the factors of 37047 and 37056 and find the biggest common factor number .

Step-1: Prime Factorization of 37047

Prime factors of 37047 are 3, 53, 233. Prime factorization of 37047 in exponential form is:

37047 = 3¹ × 53¹ × 233¹

Step-2: Prime Factorization of 37056

Prime factors of 37056 are 2, 3, 193. Prime factorization of 37056 in exponential form is:

37056 = 2⁶ × 3¹ × 193¹

Step-3: Factors of 37047

List of positive integer factors of 37047 that divides 37047 without a remainder.

1, 3, 53, 159, 233, 699, 12349

Step-4: Factors of 37056

List of positive integer factors of 37056 that divides 37047 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 6176, 9264, 12352, 18528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37047 and 37056. The biggest common factor number is the GCF number.
So the greatest common factor 37047 and 37056 is 3.

Also check out the Least Common Multiple of 37047 and 37056