What is the Greatest Common Factor of 2638 and 2648?

Greatest common factor (GCF) of 2638 and 2648 is 2.

GCF(2638,2648) = 2

We will now calculate the prime factors of 2638 and 2648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2638 and 2648.

How to find the GCF of 2638 and 2648?

We will first find the prime factorization of 2638 and 2648. After we will calculate the factors of 2638 and 2648 and find the biggest common factor number .

Step-1: Prime Factorization of 2638

Prime factors of 2638 are 2, 1319. Prime factorization of 2638 in exponential form is:

2638 = 2¹ × 1319¹

Step-2: Prime Factorization of 2648

Prime factors of 2648 are 2, 331. Prime factorization of 2648 in exponential form is:

2648 = 2³ × 331¹

Step-3: Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1, 2, 1319

Step-4: Factors of 2648

List of positive integer factors of 2648 that divides 2638 without a remainder.

1, 2, 4, 8, 331, 662, 1324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2638 and 2648. The biggest common factor number is the GCF number.
So the greatest common factor 2638 and 2648 is 2.

Also check out the Least Common Multiple of 2638 and 2648