What is the Greatest Common Factor of 76983 and 76989?

Greatest common factor (GCF) of 76983 and 76989 is 3.

GCF(76983,76989) = 3

We will now calculate the prime factors of 76983 and 76989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76983 and 76989.

How to find the GCF of 76983 and 76989?

We will first find the prime factorization of 76983 and 76989. After we will calculate the factors of 76983 and 76989 and find the biggest common factor number .

Step-1: Prime Factorization of 76983

Prime factors of 76983 are 3, 67, 383. Prime factorization of 76983 in exponential form is:

76983 = 3¹ × 67¹ × 383¹

Step-2: Prime Factorization of 76989

Prime factors of 76989 are 3, 11, 2333. Prime factorization of 76989 in exponential form is:

76989 = 3¹ × 11¹ × 2333¹

Step-3: Factors of 76983

List of positive integer factors of 76983 that divides 76983 without a remainder.

1, 3, 67, 201, 383, 1149, 25661

Step-4: Factors of 76989

List of positive integer factors of 76989 that divides 76983 without a remainder.

1, 3, 11, 33, 2333, 6999, 25663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76983 and 76989. The biggest common factor number is the GCF number.
So the greatest common factor 76983 and 76989 is 3.

Also check out the Least Common Multiple of 76983 and 76989