What is the Greatest Common Factor of 13674 and 13679?

Greatest common factor (GCF) of 13674 and 13679 is 1.

GCF(13674,13679) = 1

We will now calculate the prime factors of 13674 and 13679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13674 and 13679.

How to find the GCF of 13674 and 13679?

We will first find the prime factorization of 13674 and 13679. After we will calculate the factors of 13674 and 13679 and find the biggest common factor number .

Step-1: Prime Factorization of 13674

Prime factors of 13674 are 2, 3, 43, 53. Prime factorization of 13674 in exponential form is:

13674 = 2¹ × 3¹ × 43¹ × 53¹

Step-2: Prime Factorization of 13679

Prime factors of 13679 are 13679. Prime factorization of 13679 in exponential form is:

13679 = 13679¹

Step-3: Factors of 13674

List of positive integer factors of 13674 that divides 13674 without a remainder.

1, 2, 3, 6, 43, 53, 86, 106, 129, 159, 258, 318, 2279, 4558, 6837

Step-4: Factors of 13679

List of positive integer factors of 13679 that divides 13674 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13674 and 13679. The biggest common factor number is the GCF number.
So the greatest common factor 13674 and 13679 is 1.

Also check out the Least Common Multiple of 13674 and 13679