What is the Greatest Common Factor of 76674 and 76687?

Greatest common factor (GCF) of 76674 and 76687 is 13.

GCF(76674,76687) = 13

We will now calculate the prime factors of 76674 and 76687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76674 and 76687.

How to find the GCF of 76674 and 76687?

We will first find the prime factorization of 76674 and 76687. After we will calculate the factors of 76674 and 76687 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 76687

Prime factors of 76687 are 13, 17, 347. Prime factorization of 76687 in exponential form is:

76687 = 13¹ × 17¹ × 347¹

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 76687

List of positive integer factors of 76687 that divides 76674 without a remainder.

1, 13, 17, 221, 347, 4511, 5899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76674 and 76687. The biggest common factor number is the GCF number.
So the greatest common factor 76674 and 76687 is 13.

Also check out the Least Common Multiple of 76674 and 76687