What is the Greatest Common Factor of 76854 and 76863?

Greatest common factor (GCF) of 76854 and 76863 is 3.

GCF(76854,76863) = 3

We will now calculate the prime factors of 76854 and 76863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76854 and 76863.

How to find the GCF of 76854 and 76863?

We will first find the prime factorization of 76854 and 76863. After we will calculate the factors of 76854 and 76863 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76863

Prime factors of 76863 are 3, 25621. Prime factorization of 76863 in exponential form is:

76863 = 3¹ × 25621¹

Step-3: Factors of 76854

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

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

Step-4: Factors of 76863

List of positive integer factors of 76863 that divides 76854 without a remainder.

1, 3, 25621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76854 and 76863. The biggest common factor number is the GCF number.
So the greatest common factor 76854 and 76863 is 3.

Also check out the Least Common Multiple of 76854 and 76863