What is the Greatest Common Factor of 79365 and 79374?

Greatest common factor (GCF) of 79365 and 79374 is 3.

GCF(79365,79374) = 3

We will now calculate the prime factors of 79365 and 79374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79365 and 79374.

How to find the GCF of 79365 and 79374?

We will first find the prime factorization of 79365 and 79374. After we will calculate the factors of 79365 and 79374 and find the biggest common factor number .

Step-1: Prime Factorization of 79365

Prime factors of 79365 are 3, 5, 11, 13, 37. Prime factorization of 79365 in exponential form is:

79365 = 3¹ × 5¹ × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 79374

Prime factors of 79374 are 2, 3, 13229. Prime factorization of 79374 in exponential form is:

79374 = 2¹ × 3¹ × 13229¹

Step-3: Factors of 79365

List of positive integer factors of 79365 that divides 79365 without a remainder.

1, 3, 5, 11, 13, 15, 33, 37, 39, 55, 65, 111, 143, 165, 185, 195, 407, 429, 481, 555, 715, 1221, 1443, 2035, 2145, 2405, 5291, 6105, 7215, 15873, 26455

Step-4: Factors of 79374

List of positive integer factors of 79374 that divides 79365 without a remainder.

1, 2, 3, 6, 13229, 26458, 39687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79365 and 79374. The biggest common factor number is the GCF number.
So the greatest common factor 79365 and 79374 is 3.

Also check out the Least Common Multiple of 79365 and 79374