What is the Greatest Common Factor of 2638 and 2654?

Greatest common factor (GCF) of 2638 and 2654 is 2.

GCF(2638,2654) = 2

We will now calculate the prime factors of 2638 and 2654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2638 and 2654.

How to find the GCF of 2638 and 2654?

We will first find the prime factorization of 2638 and 2654. After we will calculate the factors of 2638 and 2654 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 2654

Prime factors of 2654 are 2, 1327. Prime factorization of 2654 in exponential form is:

2654 = 2¹ × 1327¹

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 2654

List of positive integer factors of 2654 that divides 2638 without a remainder.

1, 2, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2638 and 2654. The biggest common factor number is the GCF number.
So the greatest common factor 2638 and 2654 is 2.

Also check out the Least Common Multiple of 2638 and 2654