What is the Greatest Common Factor of 78984 and 78997?

Greatest common factor (GCF) of 78984 and 78997 is 1.

GCF(78984,78997) = 1

We will now calculate the prime factors of 78984 and 78997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78984 and 78997.

How to find the GCF of 78984 and 78997?

We will first find the prime factorization of 78984 and 78997. After we will calculate the factors of 78984 and 78997 and find the biggest common factor number .

Step-1: Prime Factorization of 78984

Prime factors of 78984 are 2, 3, 1097. Prime factorization of 78984 in exponential form is:

78984 = 2³ × 3² × 1097¹

Step-2: Prime Factorization of 78997

Prime factors of 78997 are 197, 401. Prime factorization of 78997 in exponential form is:

78997 = 197¹ × 401¹

Step-3: Factors of 78984

List of positive integer factors of 78984 that divides 78984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1097, 2194, 3291, 4388, 6582, 8776, 9873, 13164, 19746, 26328, 39492

Step-4: Factors of 78997

List of positive integer factors of 78997 that divides 78984 without a remainder.

1, 197, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78984 and 78997. The biggest common factor number is the GCF number.
So the greatest common factor 78984 and 78997 is 1.

Also check out the Least Common Multiple of 78984 and 78997