What is the Greatest Common Factor of 79900 and 79909?

Greatest common factor (GCF) of 79900 and 79909 is 1.

GCF(79900,79909) = 1

We will now calculate the prime factors of 79900 and 79909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79900 and 79909.

How to find the GCF of 79900 and 79909?

We will first find the prime factorization of 79900 and 79909. After we will calculate the factors of 79900 and 79909 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 79909

Prime factors of 79909 are 41, 1949. Prime factorization of 79909 in exponential form is:

79909 = 41¹ × 1949¹

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 79909

List of positive integer factors of 79909 that divides 79900 without a remainder.

1, 41, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79900 and 79909. The biggest common factor number is the GCF number.
So the greatest common factor 79900 and 79909 is 1.

Also check out the Least Common Multiple of 79900 and 79909