What is the Greatest Common Factor of 2639 and 2653?

Greatest common factor (GCF) of 2639 and 2653 is 7.

GCF(2639,2653) = 7

We will now calculate the prime factors of 2639 and 2653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2639 and 2653.

How to find the GCF of 2639 and 2653?

We will first find the prime factorization of 2639 and 2653. After we will calculate the factors of 2639 and 2653 and find the biggest common factor number .

Step-1: Prime Factorization of 2639

Prime factors of 2639 are 7, 13, 29. Prime factorization of 2639 in exponential form is:

2639 = 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 2653

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

2653 = 7¹ × 379¹

Step-3: Factors of 2639

List of positive integer factors of 2639 that divides 2639 without a remainder.

1, 7, 13, 29, 91, 203, 377

Step-4: Factors of 2653

List of positive integer factors of 2653 that divides 2639 without a remainder.

1, 7, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2639 and 2653. The biggest common factor number is the GCF number.
So the greatest common factor 2639 and 2653 is 7.

Also check out the Least Common Multiple of 2639 and 2653