What is the Greatest Common Factor of 79380 and 79389?

Greatest common factor (GCF) of 79380 and 79389 is 9.

GCF(79380,79389) = 9

We will now calculate the prime factors of 79380 and 79389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79380 and 79389.

How to find the GCF of 79380 and 79389?

We will first find the prime factorization of 79380 and 79389. After we will calculate the factors of 79380 and 79389 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 79389

Prime factors of 79389 are 3, 8821. Prime factorization of 79389 in exponential form is:

79389 = 3² × 8821¹

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 79389

List of positive integer factors of 79389 that divides 79380 without a remainder.

1, 3, 9, 8821, 26463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79380 and 79389. The biggest common factor number is the GCF number.
So the greatest common factor 79380 and 79389 is 9.

Also check out the Least Common Multiple of 79380 and 79389