What is the Greatest Common Factor of 79200 and 79215?

Greatest common factor (GCF) of 79200 and 79215 is 15.

GCF(79200,79215) = 15

We will now calculate the prime factors of 79200 and 79215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79200 and 79215.

How to find the GCF of 79200 and 79215?

We will first find the prime factorization of 79200 and 79215. After we will calculate the factors of 79200 and 79215 and find the biggest common factor number .

Step-1: Prime Factorization of 79200

Prime factors of 79200 are 2, 3, 5, 11. Prime factorization of 79200 in exponential form is:

79200 = 2⁵ × 3² × 5² × 11¹

Step-2: Prime Factorization of 79215

Prime factors of 79215 are 3, 5, 5281. Prime factorization of 79215 in exponential form is:

79215 = 3¹ × 5¹ × 5281¹

Step-3: Factors of 79200

List of positive integer factors of 79200 that divides 79200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 30, 32, 33, 36, 40, 44, 45, 48, 50, 55, 60, 66, 72, 75, 80, 88, 90, 96, 99, 100, 110, 120, 132, 144, 150, 160, 165, 176, 180, 198, 200, 220, 225, 240, 264, 275, 288, 300, 330, 352, 360, 396, 400, 440, 450, 480, 495, 528, 550, 600, 660, 720, 792, 800, 825, 880, 900, 990, 1056, 1100, 1200, 1320, 1440, 1584, 1650, 1760, 1800, 1980, 2200, 2400, 2475, 2640, 3168, 3300, 3600, 3960, 4400, 4950, 5280, 6600, 7200, 7920, 8800, 9900, 13200, 15840, 19800, 26400, 39600

Step-4: Factors of 79215

List of positive integer factors of 79215 that divides 79200 without a remainder.

1, 3, 5, 15, 5281, 15843, 26405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79200 and 79215. The biggest common factor number is the GCF number.
So the greatest common factor 79200 and 79215 is 15.

Also check out the Least Common Multiple of 79200 and 79215