What is the Greatest Common Factor of 79425 and 79440?

Greatest common factor (GCF) of 79425 and 79440 is 15.

GCF(79425,79440) = 15

We will now calculate the prime factors of 79425 and 79440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79425 and 79440.

How to find the GCF of 79425 and 79440?

We will first find the prime factorization of 79425 and 79440. After we will calculate the factors of 79425 and 79440 and find the biggest common factor number .

Step-1: Prime Factorization of 79425

Prime factors of 79425 are 3, 5, 353. Prime factorization of 79425 in exponential form is:

79425 = 3² × 5² × 353¹

Step-2: Prime Factorization of 79440

Prime factors of 79440 are 2, 3, 5, 331. Prime factorization of 79440 in exponential form is:

79440 = 2⁴ × 3¹ × 5¹ × 331¹

Step-3: Factors of 79425

List of positive integer factors of 79425 that divides 79425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 353, 1059, 1765, 3177, 5295, 8825, 15885, 26475

Step-4: Factors of 79440

List of positive integer factors of 79440 that divides 79425 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 331, 662, 993, 1324, 1655, 1986, 2648, 3310, 3972, 4965, 5296, 6620, 7944, 9930, 13240, 15888, 19860, 26480, 39720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79425 and 79440. The biggest common factor number is the GCF number.
So the greatest common factor 79425 and 79440 is 15.

Also check out the Least Common Multiple of 79425 and 79440