What is the Greatest Common Factor of 79164 and 79173?

Greatest common factor (GCF) of 79164 and 79173 is 9.

GCF(79164,79173) = 9

We will now calculate the prime factors of 79164 and 79173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79164 and 79173.

How to find the GCF of 79164 and 79173?

We will first find the prime factorization of 79164 and 79173. After we will calculate the factors of 79164 and 79173 and find the biggest common factor number .

Step-1: Prime Factorization of 79164

Prime factors of 79164 are 2, 3, 733. Prime factorization of 79164 in exponential form is:

79164 = 2² × 3³ × 733¹

Step-2: Prime Factorization of 79173

Prime factors of 79173 are 3, 19, 463. Prime factorization of 79173 in exponential form is:

79173 = 3² × 19¹ × 463¹

Step-3: Factors of 79164

List of positive integer factors of 79164 that divides 79164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 733, 1466, 2199, 2932, 4398, 6597, 8796, 13194, 19791, 26388, 39582

Step-4: Factors of 79173

List of positive integer factors of 79173 that divides 79164 without a remainder.

1, 3, 9, 19, 57, 171, 463, 1389, 4167, 8797, 26391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79164 and 79173. The biggest common factor number is the GCF number.
So the greatest common factor 79164 and 79173 is 9.

Also check out the Least Common Multiple of 79164 and 79173