What is the Greatest Common Factor of 37114 and 37129?

Greatest common factor (GCF) of 37114 and 37129 is 1.

GCF(37114,37129) = 1

We will now calculate the prime factors of 37114 and 37129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37114 and 37129.

How to find the GCF of 37114 and 37129?

We will first find the prime factorization of 37114 and 37129. After we will calculate the factors of 37114 and 37129 and find the biggest common factor number .

Step-1: Prime Factorization of 37114

Prime factors of 37114 are 2, 7, 11, 241. Prime factorization of 37114 in exponential form is:

37114 = 2¹ × 7¹ × 11¹ × 241¹

Step-2: Prime Factorization of 37129

Prime factors of 37129 are 107, 347. Prime factorization of 37129 in exponential form is:

37129 = 107¹ × 347¹

Step-3: Factors of 37114

List of positive integer factors of 37114 that divides 37114 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 241, 482, 1687, 2651, 3374, 5302, 18557

Step-4: Factors of 37129

List of positive integer factors of 37129 that divides 37114 without a remainder.

1, 107, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37114 and 37129. The biggest common factor number is the GCF number.
So the greatest common factor 37114 and 37129 is 1.

Also check out the Least Common Multiple of 37114 and 37129