What is the Greatest Common Factor of 2614 and 2621?

Greatest common factor (GCF) of 2614 and 2621 is 1.

GCF(2614,2621) = 1

We will now calculate the prime factors of 2614 and 2621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2614 and 2621.

How to find the GCF of 2614 and 2621?

We will first find the prime factorization of 2614 and 2621. After we will calculate the factors of 2614 and 2621 and find the biggest common factor number .

Step-1: Prime Factorization of 2614

Prime factors of 2614 are 2, 1307. Prime factorization of 2614 in exponential form is:

2614 = 2¹ × 1307¹

Step-2: Prime Factorization of 2621

Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:

2621 = 2621¹

Step-3: Factors of 2614

List of positive integer factors of 2614 that divides 2614 without a remainder.

1, 2, 1307

Step-4: Factors of 2621

List of positive integer factors of 2621 that divides 2614 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2614 and 2621. The biggest common factor number is the GCF number.
So the greatest common factor 2614 and 2621 is 1.

Also check out the Least Common Multiple of 2614 and 2621