What is the Greatest Common Factor of 79781 and 79798?

Greatest common factor (GCF) of 79781 and 79798 is 17.

GCF(79781,79798) = 17

We will now calculate the prime factors of 79781 and 79798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79781 and 79798.

How to find the GCF of 79781 and 79798?

We will first find the prime factorization of 79781 and 79798. After we will calculate the factors of 79781 and 79798 and find the biggest common factor number .

Step-1: Prime Factorization of 79781

Prime factors of 79781 are 13, 17, 19. Prime factorization of 79781 in exponential form is:

79781 = 13¹ × 17¹ × 19²

Step-2: Prime Factorization of 79798

Prime factors of 79798 are 2, 17, 2347. Prime factorization of 79798 in exponential form is:

79798 = 2¹ × 17¹ × 2347¹

Step-3: Factors of 79781

List of positive integer factors of 79781 that divides 79781 without a remainder.

1, 13, 17, 19, 221, 247, 323, 361, 4199, 4693, 6137

Step-4: Factors of 79798

List of positive integer factors of 79798 that divides 79781 without a remainder.

1, 2, 17, 34, 2347, 4694, 39899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79781 and 79798. The biggest common factor number is the GCF number.
So the greatest common factor 79781 and 79798 is 17.

Also check out the Least Common Multiple of 79781 and 79798