What is the Greatest Common Factor of 79800 and 79814?

Greatest common factor (GCF) of 79800 and 79814 is 14.

GCF(79800,79814) = 14

We will now calculate the prime factors of 79800 and 79814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79800 and 79814.

How to find the GCF of 79800 and 79814?

We will first find the prime factorization of 79800 and 79814. After we will calculate the factors of 79800 and 79814 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 79814

Prime factors of 79814 are 2, 7, 5701. Prime factorization of 79814 in exponential form is:

79814 = 2¹ × 7¹ × 5701¹

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 79814

List of positive integer factors of 79814 that divides 79800 without a remainder.

1, 2, 7, 14, 5701, 11402, 39907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79800 and 79814. The biggest common factor number is the GCF number.
So the greatest common factor 79800 and 79814 is 14.

Also check out the Least Common Multiple of 79800 and 79814