What is the Greatest Common Factor of 79984 and 79996?

Greatest common factor (GCF) of 79984 and 79996 is 4.

GCF(79984,79996) = 4

We will now calculate the prime factors of 79984 and 79996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79984 and 79996.

How to find the GCF of 79984 and 79996?

We will first find the prime factorization of 79984 and 79996. After we will calculate the factors of 79984 and 79996 and find the biggest common factor number .

Step-1: Prime Factorization of 79984

Prime factors of 79984 are 2, 4999. Prime factorization of 79984 in exponential form is:

79984 = 2⁴ × 4999¹

Step-2: Prime Factorization of 79996

Prime factors of 79996 are 2, 7, 2857. Prime factorization of 79996 in exponential form is:

79996 = 2² × 7¹ × 2857¹

Step-3: Factors of 79984

List of positive integer factors of 79984 that divides 79984 without a remainder.

1, 2, 4, 8, 16, 4999, 9998, 19996, 39992

Step-4: Factors of 79996

List of positive integer factors of 79996 that divides 79984 without a remainder.

1, 2, 4, 7, 14, 28, 2857, 5714, 11428, 19999, 39998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79984 and 79996. The biggest common factor number is the GCF number.
So the greatest common factor 79984 and 79996 is 4.

Also check out the Least Common Multiple of 79984 and 79996