What is the Greatest Common Factor of 79350 and 79365?

Greatest common factor (GCF) of 79350 and 79365 is 15.

GCF(79350,79365) = 15

We will now calculate the prime factors of 79350 and 79365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79350 and 79365.

How to find the GCF of 79350 and 79365?

We will first find the prime factorization of 79350 and 79365. After we will calculate the factors of 79350 and 79365 and find the biggest common factor number .

Step-1: Prime Factorization of 79350

Prime factors of 79350 are 2, 3, 5, 23. Prime factorization of 79350 in exponential form is:

79350 = 2¹ × 3¹ × 5² × 23²

Step-2: 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-3: Factors of 79350

List of positive integer factors of 79350 that divides 79350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 529, 575, 690, 1058, 1150, 1587, 1725, 2645, 3174, 3450, 5290, 7935, 13225, 15870, 26450, 39675

Step-4: Factors of 79365

List of positive integer factors of 79365 that divides 79350 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79350 and 79365. The biggest common factor number is the GCF number.
So the greatest common factor 79350 and 79365 is 15.

Also check out the Least Common Multiple of 79350 and 79365