What is the Greatest Common Factor of 79380 and 79400?

Greatest common factor (GCF) of 79380 and 79400 is 20.

GCF(79380,79400) = 20

We will now calculate the prime factors of 79380 and 79400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79380 and 79400.

How to find the GCF of 79380 and 79400?

We will first find the prime factorization of 79380 and 79400. After we will calculate the factors of 79380 and 79400 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 79400

Prime factors of 79400 are 2, 5, 397. Prime factorization of 79400 in exponential form is:

79400 = 2³ × 5² × 397¹

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 79400

List of positive integer factors of 79400 that divides 79380 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 397, 794, 1588, 1985, 3176, 3970, 7940, 9925, 15880, 19850, 39700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79380 and 79400. The biggest common factor number is the GCF number.
So the greatest common factor 79380 and 79400 is 20.

Also check out the Least Common Multiple of 79380 and 79400