What is the Greatest Common Factor of 28674 and 28679?

Greatest common factor (GCF) of 28674 and 28679 is 1.

GCF(28674,28679) = 1

We will now calculate the prime factors of 28674 and 28679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28674 and 28679.

How to find the GCF of 28674 and 28679?

We will first find the prime factorization of 28674 and 28679. After we will calculate the factors of 28674 and 28679 and find the biggest common factor number .

Step-1: Prime Factorization of 28674

Prime factors of 28674 are 2, 3, 59. Prime factorization of 28674 in exponential form is:

28674 = 2¹ × 3⁵ × 59¹

Step-2: Prime Factorization of 28679

Prime factors of 28679 are 7, 17, 241. Prime factorization of 28679 in exponential form is:

28679 = 7¹ × 17¹ × 241¹

Step-3: Factors of 28674

List of positive integer factors of 28674 that divides 28674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 243, 354, 486, 531, 1062, 1593, 3186, 4779, 9558, 14337

Step-4: Factors of 28679

List of positive integer factors of 28679 that divides 28674 without a remainder.

1, 7, 17, 119, 241, 1687, 4097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28674 and 28679. The biggest common factor number is the GCF number.
So the greatest common factor 28674 and 28679 is 1.

Also check out the Least Common Multiple of 28674 and 28679