What is the Greatest Common Factor of 79209 and 79218?

Greatest common factor (GCF) of 79209 and 79218 is 9.

GCF(79209,79218) = 9

We will now calculate the prime factors of 79209 and 79218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79209 and 79218.

How to find the GCF of 79209 and 79218?

We will first find the prime factorization of 79209 and 79218. After we will calculate the factors of 79209 and 79218 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 79218

Prime factors of 79218 are 2, 3, 163. Prime factorization of 79218 in exponential form is:

79218 = 2¹ × 3⁵ × 163¹

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 79218

List of positive integer factors of 79218 that divides 79209 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 163, 243, 326, 486, 489, 978, 1467, 2934, 4401, 8802, 13203, 26406, 39609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79209 and 79218. The biggest common factor number is the GCF number.
So the greatest common factor 79209 and 79218 is 9.

Also check out the Least Common Multiple of 79209 and 79218