What is the Greatest Common Factor of 38583 and 38591?

Greatest common factor (GCF) of 38583 and 38591 is 1.

GCF(38583,38591) = 1

We will now calculate the prime factors of 38583 and 38591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38583 and 38591.

How to find the GCF of 38583 and 38591?

We will first find the prime factorization of 38583 and 38591. After we will calculate the factors of 38583 and 38591 and find the biggest common factor number .

Step-1: Prime Factorization of 38583

Prime factors of 38583 are 3, 1429. Prime factorization of 38583 in exponential form is:

38583 = 3³ × 1429¹

Step-2: 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-3: Factors of 38583

List of positive integer factors of 38583 that divides 38583 without a remainder.

1, 3, 9, 27, 1429, 4287, 12861

Step-4: Factors of 38591

List of positive integer factors of 38591 that divides 38583 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38583 and 38591. The biggest common factor number is the GCF number.
So the greatest common factor 38583 and 38591 is 1.

Also check out the Least Common Multiple of 38583 and 38591