What is the Greatest Common Factor of 79209 and 79223?

Greatest common factor (GCF) of 79209 and 79223 is 1.

GCF(79209,79223) = 1

We will now calculate the prime factors of 79209 and 79223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79209 and 79223.

How to find the GCF of 79209 and 79223?

We will first find the prime factorization of 79209 and 79223. After we will calculate the factors of 79209 and 79223 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 79223

Prime factors of 79223 are 227, 349. Prime factorization of 79223 in exponential form is:

79223 = 227¹ × 349¹

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 79223

List of positive integer factors of 79223 that divides 79209 without a remainder.

1, 227, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79209 and 79223. The biggest common factor number is the GCF number.
So the greatest common factor 79209 and 79223 is 1.

Also check out the Least Common Multiple of 79209 and 79223