What is the Greatest Common Factor of 79839 and 79854?

Greatest common factor (GCF) of 79839 and 79854 is 3.

GCF(79839,79854) = 3

We will now calculate the prime factors of 79839 and 79854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79839 and 79854.

How to find the GCF of 79839 and 79854?

We will first find the prime factorization of 79839 and 79854. After we will calculate the factors of 79839 and 79854 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 79854

Prime factors of 79854 are 2, 3, 13309. Prime factorization of 79854 in exponential form is:

79854 = 2¹ × 3¹ × 13309¹

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 79854

List of positive integer factors of 79854 that divides 79839 without a remainder.

1, 2, 3, 6, 13309, 26618, 39927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79839 and 79854. The biggest common factor number is the GCF number.
So the greatest common factor 79839 and 79854 is 3.

Also check out the Least Common Multiple of 79839 and 79854