What is the Greatest Common Factor of 38577 and 38587?

Greatest common factor (GCF) of 38577 and 38587 is 1.

GCF(38577,38587) = 1

We will now calculate the prime factors of 38577 and 38587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38577 and 38587.

How to find the GCF of 38577 and 38587?

We will first find the prime factorization of 38577 and 38587. After we will calculate the factors of 38577 and 38587 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 38587

Prime factors of 38587 are 47, 821. Prime factorization of 38587 in exponential form is:

38587 = 47¹ × 821¹

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 38587

List of positive integer factors of 38587 that divides 38577 without a remainder.

1, 47, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38577 and 38587. The biggest common factor number is the GCF number.
So the greatest common factor 38577 and 38587 is 1.

Also check out the Least Common Multiple of 38577 and 38587