What is the Greatest Common Factor of 79839 and 79851?

Greatest common factor (GCF) of 79839 and 79851 is 3.

GCF(79839,79851) = 3

We will now calculate the prime factors of 79839 and 79851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79839 and 79851.

How to find the GCF of 79839 and 79851?

We will first find the prime factorization of 79839 and 79851. After we will calculate the factors of 79839 and 79851 and find the biggest common factor number .

Step-1: Prime Factorization of 79839

Prime factors of 79839 are 3, 2957. Prime factorization of 79839 in exponential form is:

79839 = 3³ × 2957¹

Step-2: Prime Factorization of 79851

Prime factors of 79851 are 3, 43, 619. Prime factorization of 79851 in exponential form is:

79851 = 3¹ × 43¹ × 619¹

Step-3: Factors of 79839

List of positive integer factors of 79839 that divides 79839 without a remainder.

1, 3, 9, 27, 2957, 8871, 26613

Step-4: Factors of 79851

List of positive integer factors of 79851 that divides 79839 without a remainder.

1, 3, 43, 129, 619, 1857, 26617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79839 and 79851. The biggest common factor number is the GCF number.
So the greatest common factor 79839 and 79851 is 3.

Also check out the Least Common Multiple of 79839 and 79851