What is the Greatest Common Factor of 79200 and 79205?

Greatest common factor (GCF) of 79200 and 79205 is 5.

GCF(79200,79205) = 5

We will now calculate the prime factors of 79200 and 79205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79200 and 79205.

How to find the GCF of 79200 and 79205?

We will first find the prime factorization of 79200 and 79205. After we will calculate the factors of 79200 and 79205 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 79205

Prime factors of 79205 are 5, 7, 31, 73. Prime factorization of 79205 in exponential form is:

79205 = 5¹ × 7¹ × 31¹ × 73¹

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 79205

List of positive integer factors of 79205 that divides 79200 without a remainder.

1, 5, 7, 31, 35, 73, 155, 217, 365, 511, 1085, 2263, 2555, 11315, 15841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79200 and 79205. The biggest common factor number is the GCF number.
So the greatest common factor 79200 and 79205 is 5.

Also check out the Least Common Multiple of 79200 and 79205