What is the Greatest Common Factor of 79209 and 79221?

Greatest common factor (GCF) of 79209 and 79221 is 3.

GCF(79209,79221) = 3

We will now calculate the prime factors of 79209 and 79221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79209 and 79221.

How to find the GCF of 79209 and 79221?

We will first find the prime factorization of 79209 and 79221. After we will calculate the factors of 79209 and 79221 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 79221

Prime factors of 79221 are 3, 26407. Prime factorization of 79221 in exponential form is:

79221 = 3¹ × 26407¹

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 79221

List of positive integer factors of 79221 that divides 79209 without a remainder.

1, 3, 26407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79209 and 79221. The biggest common factor number is the GCF number.
So the greatest common factor 79209 and 79221 is 3.

Also check out the Least Common Multiple of 79209 and 79221