What is the Greatest Common Factor of 79189 and 79200?

Greatest common factor (GCF) of 79189 and 79200 is 11.

GCF(79189,79200) = 11

We will now calculate the prime factors of 79189 and 79200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79189 and 79200.

How to find the GCF of 79189 and 79200?

We will first find the prime factorization of 79189 and 79200. After we will calculate the factors of 79189 and 79200 and find the biggest common factor number .

Step-1: Prime Factorization of 79189

Prime factors of 79189 are 11, 23, 313. Prime factorization of 79189 in exponential form is:

79189 = 11¹ × 23¹ × 313¹

Step-2: 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-3: Factors of 79189

List of positive integer factors of 79189 that divides 79189 without a remainder.

1, 11, 23, 253, 313, 3443, 7199

Step-4: Factors of 79200

List of positive integer factors of 79200 that divides 79189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79189 and 79200. The biggest common factor number is the GCF number.
So the greatest common factor 79189 and 79200 is 11.

Also check out the Least Common Multiple of 79189 and 79200