What is the Greatest Common Factor of 38117 and 38132?

Greatest common factor (GCF) of 38117 and 38132 is 1.

GCF(38117,38132) = 1

We will now calculate the prime factors of 38117 and 38132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38117 and 38132.

How to find the GCF of 38117 and 38132?

We will first find the prime factorization of 38117 and 38132. After we will calculate the factors of 38117 and 38132 and find the biggest common factor number .

Step-1: Prime Factorization of 38117

Prime factors of 38117 are 47, 811. Prime factorization of 38117 in exponential form is:

38117 = 47¹ × 811¹

Step-2: Prime Factorization of 38132

Prime factors of 38132 are 2, 9533. Prime factorization of 38132 in exponential form is:

38132 = 2² × 9533¹

Step-3: Factors of 38117

List of positive integer factors of 38117 that divides 38117 without a remainder.

1, 47, 811

Step-4: Factors of 38132

List of positive integer factors of 38132 that divides 38117 without a remainder.

1, 2, 4, 9533, 19066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38117 and 38132. The biggest common factor number is the GCF number.
So the greatest common factor 38117 and 38132 is 1.

Also check out the Least Common Multiple of 38117 and 38132