What is the Greatest Common Factor of 79786 and 79800?

Greatest common factor (GCF) of 79786 and 79800 is 14.

GCF(79786,79800) = 14

We will now calculate the prime factors of 79786 and 79800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79786 and 79800.

How to find the GCF of 79786 and 79800?

We will first find the prime factorization of 79786 and 79800. After we will calculate the factors of 79786 and 79800 and find the biggest common factor number .

Step-1: Prime Factorization of 79786

Prime factors of 79786 are 2, 7, 41, 139. Prime factorization of 79786 in exponential form is:

79786 = 2¹ × 7¹ × 41¹ × 139¹

Step-2: 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-3: Factors of 79786

List of positive integer factors of 79786 that divides 79786 without a remainder.

1, 2, 7, 14, 41, 82, 139, 278, 287, 574, 973, 1946, 5699, 11398, 39893

Step-4: Factors of 79800

List of positive integer factors of 79800 that divides 79786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79786 and 79800. The biggest common factor number is the GCF number.
So the greatest common factor 79786 and 79800 is 14.

Also check out the Least Common Multiple of 79786 and 79800