What is the Greatest Common Factor of 2653 and 2659?

Greatest common factor (GCF) of 2653 and 2659 is 1.

GCF(2653,2659) = 1

We will now calculate the prime factors of 2653 and 2659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2653 and 2659.

How to find the GCF of 2653 and 2659?

We will first find the prime factorization of 2653 and 2659. After we will calculate the factors of 2653 and 2659 and find the biggest common factor number .

Step-1: Prime Factorization of 2653

Prime factors of 2653 are 7, 379. Prime factorization of 2653 in exponential form is:

2653 = 7¹ × 379¹

Step-2: Prime Factorization of 2659

Prime factors of 2659 are 2659. Prime factorization of 2659 in exponential form is:

2659 = 2659¹

Step-3: Factors of 2653

List of positive integer factors of 2653 that divides 2653 without a remainder.

1, 7, 379

Step-4: Factors of 2659

List of positive integer factors of 2659 that divides 2653 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2653 and 2659. The biggest common factor number is the GCF number.
So the greatest common factor 2653 and 2659 is 1.

Also check out the Least Common Multiple of 2653 and 2659