What is the Greatest Common Factor of 38964 and 38978?

Greatest common factor (GCF) of 38964 and 38978 is 2.

GCF(38964,38978) = 2

We will now calculate the prime factors of 38964 and 38978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38964 and 38978.

How to find the GCF of 38964 and 38978?

We will first find the prime factorization of 38964 and 38978. After we will calculate the factors of 38964 and 38978 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 38978

Prime factors of 38978 are 2, 19489. Prime factorization of 38978 in exponential form is:

38978 = 2¹ × 19489¹

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 38978

List of positive integer factors of 38978 that divides 38964 without a remainder.

1, 2, 19489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38964 and 38978. The biggest common factor number is the GCF number.
So the greatest common factor 38964 and 38978 is 2.

Also check out the Least Common Multiple of 38964 and 38978