What is the Greatest Common Factor of 79200 and 79214?

Greatest common factor (GCF) of 79200 and 79214 is 2.

GCF(79200,79214) = 2

We will now calculate the prime factors of 79200 and 79214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79200 and 79214.

How to find the GCF of 79200 and 79214?

We will first find the prime factorization of 79200 and 79214. After we will calculate the factors of 79200 and 79214 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 79214

Prime factors of 79214 are 2, 39607. Prime factorization of 79214 in exponential form is:

79214 = 2¹ × 39607¹

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 79214

List of positive integer factors of 79214 that divides 79200 without a remainder.

1, 2, 39607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79200 and 79214. The biggest common factor number is the GCF number.
So the greatest common factor 79200 and 79214 is 2.

Also check out the Least Common Multiple of 79200 and 79214