What is the Greatest Common Factor of 38559 and 38577?

Greatest common factor (GCF) of 38559 and 38577 is 3.

GCF(38559,38577) = 3

We will now calculate the prime factors of 38559 and 38577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38559 and 38577.

How to find the GCF of 38559 and 38577?

We will first find the prime factorization of 38559 and 38577. After we will calculate the factors of 38559 and 38577 and find the biggest common factor number .

Step-1: Prime Factorization of 38559

Prime factors of 38559 are 3, 12853. Prime factorization of 38559 in exponential form is:

38559 = 3¹ × 12853¹

Step-2: 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-3: Factors of 38559

List of positive integer factors of 38559 that divides 38559 without a remainder.

1, 3, 12853

Step-4: Factors of 38577

List of positive integer factors of 38577 that divides 38559 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38559 and 38577. The biggest common factor number is the GCF number.
So the greatest common factor 38559 and 38577 is 3.

Also check out the Least Common Multiple of 38559 and 38577