What is the Greatest Common Factor of 79960 and 79972?

Greatest common factor (GCF) of 79960 and 79972 is 4.

GCF(79960,79972) = 4

We will now calculate the prime factors of 79960 and 79972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79960 and 79972.

How to find the GCF of 79960 and 79972?

We will first find the prime factorization of 79960 and 79972. After we will calculate the factors of 79960 and 79972 and find the biggest common factor number .

Step-1: Prime Factorization of 79960

Prime factors of 79960 are 2, 5, 1999. Prime factorization of 79960 in exponential form is:

79960 = 2³ × 5¹ × 1999¹

Step-2: Prime Factorization of 79972

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

79972 = 2² × 19993¹

Step-3: Factors of 79960

List of positive integer factors of 79960 that divides 79960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1999, 3998, 7996, 9995, 15992, 19990, 39980

Step-4: Factors of 79972

List of positive integer factors of 79972 that divides 79960 without a remainder.

1, 2, 4, 19993, 39986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79960 and 79972. The biggest common factor number is the GCF number.
So the greatest common factor 79960 and 79972 is 4.

Also check out the Least Common Multiple of 79960 and 79972