What is the Greatest Common Factor of 28661 and 28679?

Greatest common factor (GCF) of 28661 and 28679 is 1.

GCF(28661,28679) = 1

We will now calculate the prime factors of 28661 and 28679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28661 and 28679.

How to find the GCF of 28661 and 28679?

We will first find the prime factorization of 28661 and 28679. After we will calculate the factors of 28661 and 28679 and find the biggest common factor number .

Step-1: Prime Factorization of 28661

Prime factors of 28661 are 28661. Prime factorization of 28661 in exponential form is:

28661 = 28661¹

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 28661

List of positive integer factors of 28661 that divides 28661 without a remainder.

Step-4: Factors of 28679

List of positive integer factors of 28679 that divides 28661 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28661 and 28679. The biggest common factor number is the GCF number.
So the greatest common factor 28661 and 28679 is 1.

Also check out the Least Common Multiple of 28661 and 28679