What is the Greatest Common Factor of 79700 and 79712?

Greatest common factor (GCF) of 79700 and 79712 is 4.

GCF(79700,79712) = 4

We will now calculate the prime factors of 79700 and 79712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79700 and 79712.

How to find the GCF of 79700 and 79712?

We will first find the prime factorization of 79700 and 79712. After we will calculate the factors of 79700 and 79712 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79712

Prime factors of 79712 are 2, 47, 53. Prime factorization of 79712 in exponential form is:

79712 = 2⁵ × 47¹ × 53¹

Step-3: Factors of 79700

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

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

Step-4: Factors of 79712

List of positive integer factors of 79712 that divides 79700 without a remainder.

1, 2, 4, 8, 16, 32, 47, 53, 94, 106, 188, 212, 376, 424, 752, 848, 1504, 1696, 2491, 4982, 9964, 19928, 39856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79700 and 79712. The biggest common factor number is the GCF number.
So the greatest common factor 79700 and 79712 is 4.

Also check out the Least Common Multiple of 79700 and 79712