What is the Greatest Common Factor of 10653 and 10665?

Greatest common factor (GCF) of 10653 and 10665 is 3.

GCF(10653,10665) = 3

We will now calculate the prime factors of 10653 and 10665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10653 and 10665.

How to find the GCF of 10653 and 10665?

We will first find the prime factorization of 10653 and 10665. After we will calculate the factors of 10653 and 10665 and find the biggest common factor number .

Step-1: Prime Factorization of 10653

Prime factors of 10653 are 3, 53, 67. Prime factorization of 10653 in exponential form is:

10653 = 3¹ × 53¹ × 67¹

Step-2: 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-3: Factors of 10653

List of positive integer factors of 10653 that divides 10653 without a remainder.

1, 3, 53, 67, 159, 201, 3551

Step-4: Factors of 10665

List of positive integer factors of 10665 that divides 10653 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10653 and 10665. The biggest common factor number is the GCF number.
So the greatest common factor 10653 and 10665 is 3.

Also check out the Least Common Multiple of 10653 and 10665