What is the Greatest Common Factor of 37144 and 37159?

Greatest common factor (GCF) of 37144 and 37159 is 1.

GCF(37144,37159) = 1

We will now calculate the prime factors of 37144 and 37159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37144 and 37159.

How to find the GCF of 37144 and 37159?

We will first find the prime factorization of 37144 and 37159. After we will calculate the factors of 37144 and 37159 and find the biggest common factor number .

Step-1: Prime Factorization of 37144

Prime factors of 37144 are 2, 4643. Prime factorization of 37144 in exponential form is:

37144 = 2³ × 4643¹

Step-2: Prime Factorization of 37159

Prime factors of 37159 are 37159. Prime factorization of 37159 in exponential form is:

37159 = 37159¹

Step-3: Factors of 37144

List of positive integer factors of 37144 that divides 37144 without a remainder.

1, 2, 4, 8, 4643, 9286, 18572

Step-4: Factors of 37159

List of positive integer factors of 37159 that divides 37144 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37144 and 37159. The biggest common factor number is the GCF number.
So the greatest common factor 37144 and 37159 is 1.

Also check out the Least Common Multiple of 37144 and 37159