What is the Greatest Common Factor of 38563 and 38577?

Greatest common factor (GCF) of 38563 and 38577 is 7.

GCF(38563,38577) = 7

We will now calculate the prime factors of 38563 and 38577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38563 and 38577.

How to find the GCF of 38563 and 38577?

We will first find the prime factorization of 38563 and 38577. After we will calculate the factors of 38563 and 38577 and find the biggest common factor number .

Step-1: Prime Factorization of 38563

Prime factors of 38563 are 7, 787. Prime factorization of 38563 in exponential form is:

38563 = 7² × 787¹

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 38563

List of positive integer factors of 38563 that divides 38563 without a remainder.

1, 7, 49, 787, 5509

Step-4: Factors of 38577

List of positive integer factors of 38577 that divides 38563 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 38563 and 38577. The biggest common factor number is the GCF number.
So the greatest common factor 38563 and 38577 is 7.

Also check out the Least Common Multiple of 38563 and 38577