What is the Greatest Common Factor of 79380 and 79397?

Greatest common factor (GCF) of 79380 and 79397 is 1.

GCF(79380,79397) = 1

We will now calculate the prime factors of 79380 and 79397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79380 and 79397.

How to find the GCF of 79380 and 79397?

We will first find the prime factorization of 79380 and 79397. After we will calculate the factors of 79380 and 79397 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 79397

Prime factors of 79397 are 79397. Prime factorization of 79397 in exponential form is:

79397 = 79397¹

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 79397

List of positive integer factors of 79397 that divides 79380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79380 and 79397. The biggest common factor number is the GCF number.
So the greatest common factor 79380 and 79397 is 1.

Also check out the Least Common Multiple of 79380 and 79397