What is the Greatest Common Factor of 79407 and 79416?

Greatest common factor (GCF) of 79407 and 79416 is 9.

GCF(79407,79416) = 9

We will now calculate the prime factors of 79407 and 79416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79407 and 79416.

How to find the GCF of 79407 and 79416?

We will first find the prime factorization of 79407 and 79416. After we will calculate the factors of 79407 and 79416 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 79416

Prime factors of 79416 are 2, 3, 1103. Prime factorization of 79416 in exponential form is:

79416 = 2³ × 3² × 1103¹

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 79416

List of positive integer factors of 79416 that divides 79407 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1103, 2206, 3309, 4412, 6618, 8824, 9927, 13236, 19854, 26472, 39708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79407 and 79416. The biggest common factor number is the GCF number.
So the greatest common factor 79407 and 79416 is 9.

Also check out the Least Common Multiple of 79407 and 79416