What is the Greatest Common Factor of 78964 and 78983?

Greatest common factor (GCF) of 78964 and 78983 is 19.

GCF(78964,78983) = 19

We will now calculate the prime factors of 78964 and 78983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78964 and 78983.

How to find the GCF of 78964 and 78983?

We will first find the prime factorization of 78964 and 78983. After we will calculate the factors of 78964 and 78983 and find the biggest common factor number .

Step-1: Prime Factorization of 78964

Prime factors of 78964 are 2, 19, 1039. Prime factorization of 78964 in exponential form is:

78964 = 2² × 19¹ × 1039¹

Step-2: Prime Factorization of 78983

Prime factors of 78983 are 19, 4157. Prime factorization of 78983 in exponential form is:

78983 = 19¹ × 4157¹

Step-3: Factors of 78964

List of positive integer factors of 78964 that divides 78964 without a remainder.

1, 2, 4, 19, 38, 76, 1039, 2078, 4156, 19741, 39482

Step-4: Factors of 78983

List of positive integer factors of 78983 that divides 78964 without a remainder.

1, 19, 4157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78964 and 78983. The biggest common factor number is the GCF number.
So the greatest common factor 78964 and 78983 is 19.

Also check out the Least Common Multiple of 78964 and 78983