What is the Greatest Common Factor of 38674 and 38682?

Greatest common factor (GCF) of 38674 and 38682 is 2.

GCF(38674,38682) = 2

We will now calculate the prime factors of 38674 and 38682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38674 and 38682.

How to find the GCF of 38674 and 38682?

We will first find the prime factorization of 38674 and 38682. After we will calculate the factors of 38674 and 38682 and find the biggest common factor number .

Step-1: Prime Factorization of 38674

Prime factors of 38674 are 2, 61, 317. Prime factorization of 38674 in exponential form is:

38674 = 2¹ × 61¹ × 317¹

Step-2: Prime Factorization of 38682

Prime factors of 38682 are 2, 3, 7, 307. Prime factorization of 38682 in exponential form is:

38682 = 2¹ × 3² × 7¹ × 307¹

Step-3: Factors of 38674

List of positive integer factors of 38674 that divides 38674 without a remainder.

1, 2, 61, 122, 317, 634, 19337

Step-4: Factors of 38682

List of positive integer factors of 38682 that divides 38674 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 307, 614, 921, 1842, 2149, 2763, 4298, 5526, 6447, 12894, 19341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38674 and 38682. The biggest common factor number is the GCF number.
So the greatest common factor 38674 and 38682 is 2.

Also check out the Least Common Multiple of 38674 and 38682