What is the Greatest Common Factor of 79800 and 79817?

Greatest common factor (GCF) of 79800 and 79817 is 1.

GCF(79800,79817) = 1

We will now calculate the prime factors of 79800 and 79817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79800 and 79817.

How to find the GCF of 79800 and 79817?

We will first find the prime factorization of 79800 and 79817. After we will calculate the factors of 79800 and 79817 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 79817

Prime factors of 79817 are 79817. Prime factorization of 79817 in exponential form is:

79817 = 79817¹

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 79817

List of positive integer factors of 79817 that divides 79800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79800 and 79817. The biggest common factor number is the GCF number.
So the greatest common factor 79800 and 79817 is 1.

Also check out the Least Common Multiple of 79800 and 79817