What is the Greatest Common Factor of 38591 and 38607?

Greatest common factor (GCF) of 38591 and 38607 is 1.

GCF(38591,38607) = 1

We will now calculate the prime factors of 38591 and 38607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38591 and 38607.

How to find the GCF of 38591 and 38607?

We will first find the prime factorization of 38591 and 38607. After we will calculate the factors of 38591 and 38607 and find the biggest common factor number .

Step-1: Prime Factorization of 38591

Prime factors of 38591 are 7, 37, 149. Prime factorization of 38591 in exponential form is:

38591 = 7¹ × 37¹ × 149¹

Step-2: Prime Factorization of 38607

Prime factors of 38607 are 3, 17, 757. Prime factorization of 38607 in exponential form is:

38607 = 3¹ × 17¹ × 757¹

Step-3: Factors of 38591

List of positive integer factors of 38591 that divides 38591 without a remainder.

1, 7, 37, 149, 259, 1043, 5513

Step-4: Factors of 38607

List of positive integer factors of 38607 that divides 38591 without a remainder.

1, 3, 17, 51, 757, 2271, 12869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38591 and 38607. The biggest common factor number is the GCF number.
So the greatest common factor 38591 and 38607 is 1.

Also check out the Least Common Multiple of 38591 and 38607