What is the Greatest Common Factor of 76839 and 76854?

Greatest common factor (GCF) of 76839 and 76854 is 3.

GCF(76839,76854) = 3

We will now calculate the prime factors of 76839 and 76854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76839 and 76854.

How to find the GCF of 76839 and 76854?

We will first find the prime factorization of 76839 and 76854. After we will calculate the factors of 76839 and 76854 and find the biggest common factor number .

Step-1: Prime Factorization of 76839

Prime factors of 76839 are 3, 7, 3659. Prime factorization of 76839 in exponential form is:

76839 = 3¹ × 7¹ × 3659¹

Step-2: Prime Factorization of 76854

Prime factors of 76854 are 2, 3, 12809. Prime factorization of 76854 in exponential form is:

76854 = 2¹ × 3¹ × 12809¹

Step-3: Factors of 76839

List of positive integer factors of 76839 that divides 76839 without a remainder.

1, 3, 7, 21, 3659, 10977, 25613

Step-4: Factors of 76854

List of positive integer factors of 76854 that divides 76839 without a remainder.

1, 2, 3, 6, 12809, 25618, 38427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76839 and 76854. The biggest common factor number is the GCF number.
So the greatest common factor 76839 and 76854 is 3.

Also check out the Least Common Multiple of 76839 and 76854