What is the Greatest Common Factor of 38946 and 38964?

Greatest common factor (GCF) of 38946 and 38964 is 6.

GCF(38946,38964) = 6

We will now calculate the prime factors of 38946 and 38964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38946 and 38964.

How to find the GCF of 38946 and 38964?

We will first find the prime factorization of 38946 and 38964. After we will calculate the factors of 38946 and 38964 and find the biggest common factor number .

Step-1: Prime Factorization of 38946

Prime factors of 38946 are 2, 3, 6491. Prime factorization of 38946 in exponential form is:

38946 = 2¹ × 3¹ × 6491¹

Step-2: 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-3: Factors of 38946

List of positive integer factors of 38946 that divides 38946 without a remainder.

1, 2, 3, 6, 6491, 12982, 19473

Step-4: Factors of 38964

List of positive integer factors of 38964 that divides 38946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38946 and 38964. The biggest common factor number is the GCF number.
So the greatest common factor 38946 and 38964 is 6.

Also check out the Least Common Multiple of 38946 and 38964