What is the Greatest Common Factor of 79796 and 79808?

Greatest common factor (GCF) of 79796 and 79808 is 4.

GCF(79796,79808) = 4

We will now calculate the prime factors of 79796 and 79808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79796 and 79808.

How to find the GCF of 79796 and 79808?

We will first find the prime factorization of 79796 and 79808. After we will calculate the factors of 79796 and 79808 and find the biggest common factor number .

Step-1: Prime Factorization of 79796

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

79796 = 2² × 19949¹

Step-2: Prime Factorization of 79808

Prime factors of 79808 are 2, 29, 43. Prime factorization of 79808 in exponential form is:

79808 = 2⁶ × 29¹ × 43¹

Step-3: Factors of 79796

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

1, 2, 4, 19949, 39898

Step-4: Factors of 79808

List of positive integer factors of 79808 that divides 79796 without a remainder.

1, 2, 4, 8, 16, 29, 32, 43, 58, 64, 86, 116, 172, 232, 344, 464, 688, 928, 1247, 1376, 1856, 2494, 2752, 4988, 9976, 19952, 39904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79796 and 79808. The biggest common factor number is the GCF number.
So the greatest common factor 79796 and 79808 is 4.

Also check out the Least Common Multiple of 79796 and 79808