What is the Greatest Common Factor of 38676 and 38687?

Greatest common factor (GCF) of 38676 and 38687 is 11.

GCF(38676,38687) = 11

We will now calculate the prime factors of 38676 and 38687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38676 and 38687.

How to find the GCF of 38676 and 38687?

We will first find the prime factorization of 38676 and 38687. After we will calculate the factors of 38676 and 38687 and find the biggest common factor number .

Step-1: Prime Factorization of 38676

Prime factors of 38676 are 2, 3, 11, 293. Prime factorization of 38676 in exponential form is:

38676 = 2² × 3¹ × 11¹ × 293¹

Step-2: Prime Factorization of 38687

Prime factors of 38687 are 11, 3517. Prime factorization of 38687 in exponential form is:

38687 = 11¹ × 3517¹

Step-3: Factors of 38676

List of positive integer factors of 38676 that divides 38676 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 293, 586, 879, 1172, 1758, 3223, 3516, 6446, 9669, 12892, 19338

Step-4: Factors of 38687

List of positive integer factors of 38687 that divides 38676 without a remainder.

1, 11, 3517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38676 and 38687. The biggest common factor number is the GCF number.
So the greatest common factor 38676 and 38687 is 11.

Also check out the Least Common Multiple of 38676 and 38687