What is the Greatest Common Factor of 79800 and 79809?

Greatest common factor (GCF) of 79800 and 79809 is 3.

GCF(79800,79809) = 3

We will now calculate the prime factors of 79800 and 79809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79800 and 79809.

How to find the GCF of 79800 and 79809?

We will first find the prime factorization of 79800 and 79809. After we will calculate the factors of 79800 and 79809 and find the biggest common factor number .

Step-1: Prime Factorization of 79800

Prime factors of 79800 are 2, 3, 5, 7, 19. Prime factorization of 79800 in exponential form is:

79800 = 2³ × 3¹ × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 79809

Prime factors of 79809 are 3, 37, 719. Prime factorization of 79809 in exponential form is:

79809 = 3¹ × 37¹ × 719¹

Step-3: Factors of 79800

List of positive integer factors of 79800 that divides 79800 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 19, 20, 21, 24, 25, 28, 30, 35, 38, 40, 42, 50, 56, 57, 60, 70, 75, 76, 84, 95, 100, 105, 114, 120, 133, 140, 150, 152, 168, 175, 190, 200, 210, 228, 266, 280, 285, 300, 350, 380, 399, 420, 456, 475, 525, 532, 570, 600, 665, 700, 760, 798, 840, 950, 1050, 1064, 1140, 1330, 1400, 1425, 1596, 1900, 1995, 2100, 2280, 2660, 2850, 3192, 3325, 3800, 3990, 4200, 5320, 5700, 6650, 7980, 9975, 11400, 13300, 15960, 19950, 26600, 39900

Step-4: Factors of 79809

List of positive integer factors of 79809 that divides 79800 without a remainder.

1, 3, 37, 111, 719, 2157, 26603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79800 and 79809. The biggest common factor number is the GCF number.
So the greatest common factor 79800 and 79809 is 3.

Also check out the Least Common Multiple of 79800 and 79809