What is the Greatest Common Factor of 38577 and 38589?

Greatest common factor (GCF) of 38577 and 38589 is 3.

GCF(38577,38589) = 3

We will now calculate the prime factors of 38577 and 38589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38577 and 38589.

How to find the GCF of 38577 and 38589?

We will first find the prime factorization of 38577 and 38589. After we will calculate the factors of 38577 and 38589 and find the biggest common factor number .

Step-1: Prime Factorization of 38577

Prime factors of 38577 are 3, 7, 11, 167. Prime factorization of 38577 in exponential form is:

38577 = 3¹ × 7¹ × 11¹ × 167¹

Step-2: Prime Factorization of 38589

Prime factors of 38589 are 3, 19, 677. Prime factorization of 38589 in exponential form is:

38589 = 3¹ × 19¹ × 677¹

Step-3: Factors of 38577

List of positive integer factors of 38577 that divides 38577 without a remainder.

1, 3, 7, 11, 21, 33, 77, 167, 231, 501, 1169, 1837, 3507, 5511, 12859

Step-4: Factors of 38589

List of positive integer factors of 38589 that divides 38577 without a remainder.

1, 3, 19, 57, 677, 2031, 12863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38577 and 38589. The biggest common factor number is the GCF number.
So the greatest common factor 38577 and 38589 is 3.

Also check out the Least Common Multiple of 38577 and 38589