What is the Greatest Common Factor of 79407 and 79413?

Greatest common factor (GCF) of 79407 and 79413 is 3.

GCF(79407,79413) = 3

We will now calculate the prime factors of 79407 and 79413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79407 and 79413.

How to find the GCF of 79407 and 79413?

We will first find the prime factorization of 79407 and 79413. After we will calculate the factors of 79407 and 79413 and find the biggest common factor number .

Step-1: Prime Factorization of 79407

Prime factors of 79407 are 3, 17, 173. Prime factorization of 79407 in exponential form is:

79407 = 3³ × 17¹ × 173¹

Step-2: Prime Factorization of 79413

Prime factors of 79413 are 3, 103, 257. Prime factorization of 79413 in exponential form is:

79413 = 3¹ × 103¹ × 257¹

Step-3: Factors of 79407

List of positive integer factors of 79407 that divides 79407 without a remainder.

1, 3, 9, 17, 27, 51, 153, 173, 459, 519, 1557, 2941, 4671, 8823, 26469

Step-4: Factors of 79413

List of positive integer factors of 79413 that divides 79407 without a remainder.

1, 3, 103, 257, 309, 771, 26471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79407 and 79413. The biggest common factor number is the GCF number.
So the greatest common factor 79407 and 79413 is 3.

Also check out the Least Common Multiple of 79407 and 79413