What is the Greatest Common Factor of 37056 and 37073?

Greatest common factor (GCF) of 37056 and 37073 is 1.

GCF(37056,37073) = 1

We will now calculate the prime factors of 37056 and 37073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37056 and 37073.

How to find the GCF of 37056 and 37073?

We will first find the prime factorization of 37056 and 37073. After we will calculate the factors of 37056 and 37073 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37073

Prime factors of 37073 are 131, 283. Prime factorization of 37073 in exponential form is:

37073 = 131¹ × 283¹

Step-3: Factors of 37056

List of positive integer factors of 37056 that divides 37056 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

Step-4: Factors of 37073

List of positive integer factors of 37073 that divides 37056 without a remainder.

1, 131, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37056 and 37073. The biggest common factor number is the GCF number.
So the greatest common factor 37056 and 37073 is 1.

Also check out the Least Common Multiple of 37056 and 37073