What is the Greatest Common Factor of 79600 and 79616?

Greatest common factor (GCF) of 79600 and 79616 is 16.

GCF(79600,79616) = 16

We will now calculate the prime factors of 79600 and 79616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79600 and 79616.

How to find the GCF of 79600 and 79616?

We will first find the prime factorization of 79600 and 79616. After we will calculate the factors of 79600 and 79616 and find the biggest common factor number .

Step-1: Prime Factorization of 79600

Prime factors of 79600 are 2, 5, 199. Prime factorization of 79600 in exponential form is:

79600 = 2⁴ × 5² × 199¹

Step-2: Prime Factorization of 79616

Prime factors of 79616 are 2, 311. Prime factorization of 79616 in exponential form is:

79616 = 2⁸ × 311¹

Step-3: Factors of 79600

List of positive integer factors of 79600 that divides 79600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 199, 200, 398, 400, 796, 995, 1592, 1990, 3184, 3980, 4975, 7960, 9950, 15920, 19900, 39800

Step-4: Factors of 79616

List of positive integer factors of 79616 that divides 79600 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 311, 622, 1244, 2488, 4976, 9952, 19904, 39808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79600 and 79616. The biggest common factor number is the GCF number.
So the greatest common factor 79600 and 79616 is 16.

Also check out the Least Common Multiple of 79600 and 79616