What is the Greatest Common Factor of 79808 and 79826?

Greatest common factor (GCF) of 79808 and 79826 is 2.

GCF(79808,79826) = 2

We will now calculate the prime factors of 79808 and 79826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79808 and 79826.

How to find the GCF of 79808 and 79826?

We will first find the prime factorization of 79808 and 79826. After we will calculate the factors of 79808 and 79826 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79826

Prime factors of 79826 are 2, 167, 239. Prime factorization of 79826 in exponential form is:

79826 = 2¹ × 167¹ × 239¹

Step-3: Factors of 79808

List of positive integer factors of 79808 that divides 79808 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

Step-4: Factors of 79826

List of positive integer factors of 79826 that divides 79808 without a remainder.

1, 2, 167, 239, 334, 478, 39913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79808 and 79826. The biggest common factor number is the GCF number.
So the greatest common factor 79808 and 79826 is 2.

Also check out the Least Common Multiple of 79808 and 79826