What is the Greatest Common Factor of 79792 and 79796?

Greatest common factor (GCF) of 79792 and 79796 is 4.

GCF(79792,79796) = 4

We will now calculate the prime factors of 79792 and 79796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79792 and 79796.

How to find the GCF of 79792 and 79796?

We will first find the prime factorization of 79792 and 79796. After we will calculate the factors of 79792 and 79796 and find the biggest common factor number .

Step-1: Prime Factorization of 79792

Prime factors of 79792 are 2, 4987. Prime factorization of 79792 in exponential form is:

79792 = 2⁴ × 4987¹

Step-2: Prime Factorization of 79796

Prime factors of 79796 are 2, 19949. Prime factorization of 79796 in exponential form is:

79796 = 2² × 19949¹

Step-3: Factors of 79792

List of positive integer factors of 79792 that divides 79792 without a remainder.

1, 2, 4, 8, 16, 4987, 9974, 19948, 39896

Step-4: Factors of 79796

List of positive integer factors of 79796 that divides 79792 without a remainder.

1, 2, 4, 19949, 39898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79792 and 79796. The biggest common factor number is the GCF number.
So the greatest common factor 79792 and 79796 is 4.

Also check out the Least Common Multiple of 79792 and 79796