What is the Greatest Common Factor of 79374 and 79380?

Greatest common factor (GCF) of 79374 and 79380 is 6.

GCF(79374,79380) = 6

We will now calculate the prime factors of 79374 and 79380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79374 and 79380.

How to find the GCF of 79374 and 79380?

We will first find the prime factorization of 79374 and 79380. After we will calculate the factors of 79374 and 79380 and find the biggest common factor number .

Step-1: Prime Factorization of 79374

Prime factors of 79374 are 2, 3, 13229. Prime factorization of 79374 in exponential form is:

79374 = 2¹ × 3¹ × 13229¹

Step-2: 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-3: Factors of 79374

List of positive integer factors of 79374 that divides 79374 without a remainder.

1, 2, 3, 6, 13229, 26458, 39687

Step-4: Factors of 79380

List of positive integer factors of 79380 that divides 79374 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79374 and 79380. The biggest common factor number is the GCF number.
So the greatest common factor 79374 and 79380 is 6.

Also check out the Least Common Multiple of 79374 and 79380