What is the Greatest Common Factor of 79679 and 79696?

Greatest common factor (GCF) of 79679 and 79696 is 17.

GCF(79679,79696) = 17

We will now calculate the prime factors of 79679 and 79696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79679 and 79696.

How to find the GCF of 79679 and 79696?

We will first find the prime factorization of 79679 and 79696. After we will calculate the factors of 79679 and 79696 and find the biggest common factor number .

Step-1: Prime Factorization of 79679

Prime factors of 79679 are 17, 43, 109. Prime factorization of 79679 in exponential form is:

79679 = 17¹ × 43¹ × 109¹

Step-2: Prime Factorization of 79696

Prime factors of 79696 are 2, 17, 293. Prime factorization of 79696 in exponential form is:

79696 = 2⁴ × 17¹ × 293¹

Step-3: Factors of 79679

List of positive integer factors of 79679 that divides 79679 without a remainder.

1, 17, 43, 109, 731, 1853, 4687

Step-4: Factors of 79696

List of positive integer factors of 79696 that divides 79679 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 293, 586, 1172, 2344, 4688, 4981, 9962, 19924, 39848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79679 and 79696. The biggest common factor number is the GCF number.
So the greatest common factor 79679 and 79696 is 17.

Also check out the Least Common Multiple of 79679 and 79696