What is the Greatest Common Factor of 79942 and 79960?

Greatest common factor (GCF) of 79942 and 79960 is 2.

GCF(79942,79960) = 2

We will now calculate the prime factors of 79942 and 79960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79942 and 79960.

How to find the GCF of 79942 and 79960?

We will first find the prime factorization of 79942 and 79960. After we will calculate the factors of 79942 and 79960 and find the biggest common factor number .

Step-1: Prime Factorization of 79942

Prime factors of 79942 are 2, 39971. Prime factorization of 79942 in exponential form is:

79942 = 2¹ × 39971¹

Step-2: 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-3: Factors of 79942

List of positive integer factors of 79942 that divides 79942 without a remainder.

1, 2, 39971

Step-4: Factors of 79960

List of positive integer factors of 79960 that divides 79942 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79942 and 79960. The biggest common factor number is the GCF number.
So the greatest common factor 79942 and 79960 is 2.

Also check out the Least Common Multiple of 79942 and 79960