What is the Greatest Common Factor of 38129 and 38137?

Greatest common factor (GCF) of 38129 and 38137 is 1.

GCF(38129,38137) = 1

We will now calculate the prime factors of 38129 and 38137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38129 and 38137.

How to find the GCF of 38129 and 38137?

We will first find the prime factorization of 38129 and 38137. After we will calculate the factors of 38129 and 38137 and find the biggest common factor number .

Step-1: Prime Factorization of 38129

Prime factors of 38129 are 7, 13, 419. Prime factorization of 38129 in exponential form is:

38129 = 7¹ × 13¹ × 419¹

Step-2: Prime Factorization of 38137

Prime factors of 38137 are 11, 3467. Prime factorization of 38137 in exponential form is:

38137 = 11¹ × 3467¹

Step-3: Factors of 38129

List of positive integer factors of 38129 that divides 38129 without a remainder.

1, 7, 13, 91, 419, 2933, 5447

Step-4: Factors of 38137

List of positive integer factors of 38137 that divides 38129 without a remainder.

1, 11, 3467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38129 and 38137. The biggest common factor number is the GCF number.
So the greatest common factor 38129 and 38137 is 1.

Also check out the Least Common Multiple of 38129 and 38137