What is the Greatest Common Factor of 79972 and 79984?

Greatest common factor (GCF) of 79972 and 79984 is 4.

GCF(79972,79984) = 4

We will now calculate the prime factors of 79972 and 79984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79972 and 79984.

How to find the GCF of 79972 and 79984?

We will first find the prime factorization of 79972 and 79984. After we will calculate the factors of 79972 and 79984 and find the biggest common factor number .

Step-1: Prime Factorization of 79972

Prime factors of 79972 are 2, 19993. Prime factorization of 79972 in exponential form is:

79972 = 2² × 19993¹

Step-2: Prime Factorization of 79984

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

79984 = 2⁴ × 4999¹

Step-3: Factors of 79972

List of positive integer factors of 79972 that divides 79972 without a remainder.

1, 2, 4, 19993, 39986

Step-4: Factors of 79984

List of positive integer factors of 79984 that divides 79972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79972 and 79984. The biggest common factor number is the GCF number.
So the greatest common factor 79972 and 79984 is 4.

Also check out the Least Common Multiple of 79972 and 79984