What is the Greatest Common Factor of 79696 and 79700?

Greatest common factor (GCF) of 79696 and 79700 is 4.

GCF(79696,79700) = 4

We will now calculate the prime factors of 79696 and 79700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79696 and 79700.

How to find the GCF of 79696 and 79700?

We will first find the prime factorization of 79696 and 79700. After we will calculate the factors of 79696 and 79700 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 79700

Prime factors of 79700 are 2, 5, 797. Prime factorization of 79700 in exponential form is:

79700 = 2² × 5² × 797¹

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 79700

List of positive integer factors of 79700 that divides 79696 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 797, 1594, 3188, 3985, 7970, 15940, 19925, 39850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79696 and 79700. The biggest common factor number is the GCF number.
So the greatest common factor 79696 and 79700 is 4.

Also check out the Least Common Multiple of 79696 and 79700