What is the Greatest Common Factor of 79196 and 79209?

Greatest common factor (GCF) of 79196 and 79209 is 13.

GCF(79196,79209) = 13

We will now calculate the prime factors of 79196 and 79209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79196 and 79209.

How to find the GCF of 79196 and 79209?

We will first find the prime factorization of 79196 and 79209. After we will calculate the factors of 79196 and 79209 and find the biggest common factor number .

Step-1: Prime Factorization of 79196

Prime factors of 79196 are 2, 13, 1523. Prime factorization of 79196 in exponential form is:

79196 = 2² × 13¹ × 1523¹

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 79196

List of positive integer factors of 79196 that divides 79196 without a remainder.

1, 2, 4, 13, 26, 52, 1523, 3046, 6092, 19799, 39598

Step-4: Factors of 79209

List of positive integer factors of 79209 that divides 79196 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 79196 and 79209. The biggest common factor number is the GCF number.
So the greatest common factor 79196 and 79209 is 13.

Also check out the Least Common Multiple of 79196 and 79209