What is the Greatest Common Factor of 79380 and 79395?

Greatest common factor (GCF) of 79380 and 79395 is 15.

GCF(79380,79395) = 15

We will now calculate the prime factors of 79380 and 79395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79380 and 79395.

How to find the GCF of 79380 and 79395?

We will first find the prime factorization of 79380 and 79395. After we will calculate the factors of 79380 and 79395 and find the biggest common factor number .

Step-1: Prime Factorization of 79380

Prime factors of 79380 are 2, 3, 5, 7. Prime factorization of 79380 in exponential form is:

79380 = 2² × 3⁴ × 5¹ × 7²

Step-2: Prime Factorization of 79395

Prime factors of 79395 are 3, 5, 67, 79. Prime factorization of 79395 in exponential form is:

79395 = 3¹ × 5¹ × 67¹ × 79¹

Step-3: Factors of 79380

List of positive integer factors of 79380 that divides 79380 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 49, 54, 60, 63, 70, 81, 84, 90, 98, 105, 108, 126, 135, 140, 147, 162, 180, 189, 196, 210, 245, 252, 270, 294, 315, 324, 378, 405, 420, 441, 490, 540, 567, 588, 630, 735, 756, 810, 882, 945, 980, 1134, 1260, 1323, 1470, 1620, 1764, 1890, 2205, 2268, 2646, 2835, 2940, 3780, 3969, 4410, 5292, 5670, 6615, 7938, 8820, 11340, 13230, 15876, 19845, 26460, 39690

Step-4: Factors of 79395

List of positive integer factors of 79395 that divides 79380 without a remainder.

1, 3, 5, 15, 67, 79, 201, 237, 335, 395, 1005, 1185, 5293, 15879, 26465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79380 and 79395. The biggest common factor number is the GCF number.
So the greatest common factor 79380 and 79395 is 15.

Also check out the Least Common Multiple of 79380 and 79395