What is the Greatest Common Factor of 38946 and 38961?

Greatest common factor (GCF) of 38946 and 38961 is 3.

GCF(38946,38961) = 3

We will now calculate the prime factors of 38946 and 38961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38946 and 38961.

How to find the GCF of 38946 and 38961?

We will first find the prime factorization of 38946 and 38961. After we will calculate the factors of 38946 and 38961 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 38961

Prime factors of 38961 are 3, 13, 37. Prime factorization of 38961 in exponential form is:

38961 = 3⁴ × 13¹ × 37¹

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 38961

List of positive integer factors of 38961 that divides 38946 without a remainder.

1, 3, 9, 13, 27, 37, 39, 81, 111, 117, 333, 351, 481, 999, 1053, 1443, 2997, 4329, 12987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38946 and 38961. The biggest common factor number is the GCF number.
So the greatest common factor 38946 and 38961 is 3.

Also check out the Least Common Multiple of 38946 and 38961