What is the Greatest Common Factor of 38964 and 38968?

Greatest common factor (GCF) of 38964 and 38968 is 4.

GCF(38964,38968) = 4

We will now calculate the prime factors of 38964 and 38968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38964 and 38968.

How to find the GCF of 38964 and 38968?

We will first find the prime factorization of 38964 and 38968. After we will calculate the factors of 38964 and 38968 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 38968

Prime factors of 38968 are 2, 4871. Prime factorization of 38968 in exponential form is:

38968 = 2³ × 4871¹

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 38968

List of positive integer factors of 38968 that divides 38964 without a remainder.

1, 2, 4, 8, 4871, 9742, 19484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38964 and 38968. The biggest common factor number is the GCF number.
So the greatest common factor 38964 and 38968 is 4.

Also check out the Least Common Multiple of 38964 and 38968