What is the Greatest Common Factor of 79900 and 79908?

Greatest common factor (GCF) of 79900 and 79908 is 4.

GCF(79900,79908) = 4

We will now calculate the prime factors of 79900 and 79908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79900 and 79908.

How to find the GCF of 79900 and 79908?

We will first find the prime factorization of 79900 and 79908. After we will calculate the factors of 79900 and 79908 and find the biggest common factor number .

Step-1: Prime Factorization of 79900

Prime factors of 79900 are 2, 5, 17, 47. Prime factorization of 79900 in exponential form is:

79900 = 2² × 5² × 17¹ × 47¹

Step-2: Prime Factorization of 79908

Prime factors of 79908 are 2, 3, 6659. Prime factorization of 79908 in exponential form is:

79908 = 2² × 3¹ × 6659¹

Step-3: Factors of 79900

List of positive integer factors of 79900 that divides 79900 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 47, 50, 68, 85, 94, 100, 170, 188, 235, 340, 425, 470, 799, 850, 940, 1175, 1598, 1700, 2350, 3196, 3995, 4700, 7990, 15980, 19975, 39950

Step-4: Factors of 79908

List of positive integer factors of 79908 that divides 79900 without a remainder.

1, 2, 3, 4, 6, 12, 6659, 13318, 19977, 26636, 39954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79900 and 79908. The biggest common factor number is the GCF number.
So the greatest common factor 79900 and 79908 is 4.

Also check out the Least Common Multiple of 79900 and 79908