What is the Greatest Common Factor of 2634 and 2642?

Greatest common factor (GCF) of 2634 and 2642 is 2.

GCF(2634,2642) = 2

We will now calculate the prime factors of 2634 and 2642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2634 and 2642.

How to find the GCF of 2634 and 2642?

We will first find the prime factorization of 2634 and 2642. After we will calculate the factors of 2634 and 2642 and find the biggest common factor number .

Step-1: Prime Factorization of 2634

Prime factors of 2634 are 2, 3, 439. Prime factorization of 2634 in exponential form is:

2634 = 2¹ × 3¹ × 439¹

Step-2: Prime Factorization of 2642

Prime factors of 2642 are 2, 1321. Prime factorization of 2642 in exponential form is:

2642 = 2¹ × 1321¹

Step-3: Factors of 2634

List of positive integer factors of 2634 that divides 2634 without a remainder.

1, 2, 3, 6, 439, 878, 1317

Step-4: Factors of 2642

List of positive integer factors of 2642 that divides 2634 without a remainder.

1, 2, 1321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2634 and 2642. The biggest common factor number is the GCF number.
So the greatest common factor 2634 and 2642 is 2.

Also check out the Least Common Multiple of 2634 and 2642