What is the Greatest Common Factor of 2614 and 2628?

Greatest common factor (GCF) of 2614 and 2628 is 2.

GCF(2614,2628) = 2

We will now calculate the prime factors of 2614 and 2628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2614 and 2628.

How to find the GCF of 2614 and 2628?

We will first find the prime factorization of 2614 and 2628. After we will calculate the factors of 2614 and 2628 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 2628

Prime factors of 2628 are 2, 3, 73. Prime factorization of 2628 in exponential form is:

2628 = 2² × 3² × 73¹

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 2628

List of positive integer factors of 2628 that divides 2614 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2614 and 2628. The biggest common factor number is the GCF number.
So the greatest common factor 2614 and 2628 is 2.

Also check out the Least Common Multiple of 2614 and 2628