What is the Greatest Common Factor of 79696 and 79714?

Greatest common factor (GCF) of 79696 and 79714 is 2.

GCF(79696,79714) = 2

We will now calculate the prime factors of 79696 and 79714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79696 and 79714.

How to find the GCF of 79696 and 79714?

We will first find the prime factorization of 79696 and 79714. After we will calculate the factors of 79696 and 79714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79714

Prime factors of 79714 are 2, 39857. Prime factorization of 79714 in exponential form is:

79714 = 2¹ × 39857¹

Step-3: Factors of 79696

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

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

Step-4: Factors of 79714

List of positive integer factors of 79714 that divides 79696 without a remainder.

1, 2, 39857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79696 and 79714. The biggest common factor number is the GCF number.
So the greatest common factor 79696 and 79714 is 2.

Also check out the Least Common Multiple of 79696 and 79714