What is the Greatest Common Factor of 38964 and 38974?

Greatest common factor (GCF) of 38964 and 38974 is 2.

GCF(38964,38974) = 2

We will now calculate the prime factors of 38964 and 38974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38964 and 38974.

How to find the GCF of 38964 and 38974?

We will first find the prime factorization of 38964 and 38974. After we will calculate the factors of 38964 and 38974 and find the biggest common factor number .

Step-1: Prime Factorization of 38964

Prime factors of 38964 are 2, 3, 17, 191. Prime factorization of 38964 in exponential form is:

38964 = 2² × 3¹ × 17¹ × 191¹

Step-2: Prime Factorization of 38974

Prime factors of 38974 are 2, 13, 1499. Prime factorization of 38974 in exponential form is:

38974 = 2¹ × 13¹ × 1499¹

Step-3: Factors of 38964

List of positive integer factors of 38964 that divides 38964 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 191, 204, 382, 573, 764, 1146, 2292, 3247, 6494, 9741, 12988, 19482

Step-4: Factors of 38974

List of positive integer factors of 38974 that divides 38964 without a remainder.

1, 2, 13, 26, 1499, 2998, 19487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38964 and 38974. The biggest common factor number is the GCF number.
So the greatest common factor 38964 and 38974 is 2.

Also check out the Least Common Multiple of 38964 and 38974