What is the Greatest Common Factor of 10665 and 10679?

Greatest common factor (GCF) of 10665 and 10679 is 1.

GCF(10665,10679) = 1

We will now calculate the prime factors of 10665 and 10679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10665 and 10679.

How to find the GCF of 10665 and 10679?

We will first find the prime factorization of 10665 and 10679. After we will calculate the factors of 10665 and 10679 and find the biggest common factor number .

Step-1: Prime Factorization of 10665

Prime factors of 10665 are 3, 5, 79. Prime factorization of 10665 in exponential form is:

10665 = 3³ × 5¹ × 79¹

Step-2: Prime Factorization of 10679

Prime factors of 10679 are 59, 181. Prime factorization of 10679 in exponential form is:

10679 = 59¹ × 181¹

Step-3: Factors of 10665

List of positive integer factors of 10665 that divides 10665 without a remainder.

1, 3, 5, 9, 15, 27, 45, 79, 135, 237, 395, 711, 1185, 2133, 3555

Step-4: Factors of 10679

List of positive integer factors of 10679 that divides 10665 without a remainder.

1, 59, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10665 and 10679. The biggest common factor number is the GCF number.
So the greatest common factor 10665 and 10679 is 1.

Also check out the Least Common Multiple of 10665 and 10679