What is the Greatest Common Factor of 79199 and 79209?

Greatest common factor (GCF) of 79199 and 79209 is 1.

GCF(79199,79209) = 1

We will now calculate the prime factors of 79199 and 79209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79199 and 79209.

How to find the GCF of 79199 and 79209?

We will first find the prime factorization of 79199 and 79209. After we will calculate the factors of 79199 and 79209 and find the biggest common factor number .

Step-1: Prime Factorization of 79199

Prime factors of 79199 are 29, 2731. Prime factorization of 79199 in exponential form is:

79199 = 29¹ × 2731¹

Step-2: Prime Factorization of 79209

Prime factors of 79209 are 3, 13, 677. Prime factorization of 79209 in exponential form is:

79209 = 3² × 13¹ × 677¹

Step-3: Factors of 79199

List of positive integer factors of 79199 that divides 79199 without a remainder.

1, 29, 2731

Step-4: Factors of 79209

List of positive integer factors of 79209 that divides 79199 without a remainder.

1, 3, 9, 13, 39, 117, 677, 2031, 6093, 8801, 26403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79199 and 79209. The biggest common factor number is the GCF number.
So the greatest common factor 79199 and 79209 is 1.

Also check out the Least Common Multiple of 79199 and 79209