What is the Greatest Common Factor of 76674 and 76683?

Greatest common factor (GCF) of 76674 and 76683 is 3.

GCF(76674,76683) = 3

We will now calculate the prime factors of 76674 and 76683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76674 and 76683.

How to find the GCF of 76674 and 76683?

We will first find the prime factorization of 76674 and 76683. After we will calculate the factors of 76674 and 76683 and find the biggest common factor number .

Step-1: Prime Factorization of 76674

Prime factors of 76674 are 2, 3, 13, 983. Prime factorization of 76674 in exponential form is:

76674 = 2¹ × 3¹ × 13¹ × 983¹

Step-2: Prime Factorization of 76683

Prime factors of 76683 are 3, 25561. Prime factorization of 76683 in exponential form is:

76683 = 3¹ × 25561¹

Step-3: Factors of 76674

List of positive integer factors of 76674 that divides 76674 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 983, 1966, 2949, 5898, 12779, 25558, 38337

Step-4: Factors of 76683

List of positive integer factors of 76683 that divides 76674 without a remainder.

1, 3, 25561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76674 and 76683. The biggest common factor number is the GCF number.
So the greatest common factor 76674 and 76683 is 3.

Also check out the Least Common Multiple of 76674 and 76683