What is the Greatest Common Factor of 79209 and 79222?

Greatest common factor (GCF) of 79209 and 79222 is 13.

GCF(79209,79222) = 13

We will now calculate the prime factors of 79209 and 79222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79209 and 79222.

How to find the GCF of 79209 and 79222?

We will first find the prime factorization of 79209 and 79222. After we will calculate the factors of 79209 and 79222 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79222

Prime factors of 79222 are 2, 11, 13, 277. Prime factorization of 79222 in exponential form is:

79222 = 2¹ × 11¹ × 13¹ × 277¹

Step-3: Factors of 79209

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

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

Step-4: Factors of 79222

List of positive integer factors of 79222 that divides 79209 without a remainder.

1, 2, 11, 13, 22, 26, 143, 277, 286, 554, 3047, 3601, 6094, 7202, 39611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79209 and 79222. The biggest common factor number is the GCF number.
So the greatest common factor 79209 and 79222 is 13.

Also check out the Least Common Multiple of 79209 and 79222