What is the Greatest Common Factor of 2628 and 2643?

Greatest common factor (GCF) of 2628 and 2643 is 3.

GCF(2628,2643) = 3

We will now calculate the prime factors of 2628 and 2643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2628 and 2643.

How to find the GCF of 2628 and 2643?

We will first find the prime factorization of 2628 and 2643. After we will calculate the factors of 2628 and 2643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2643

Prime factors of 2643 are 3, 881. Prime factorization of 2643 in exponential form is:

2643 = 3¹ × 881¹

Step-3: Factors of 2628

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

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

Step-4: Factors of 2643

List of positive integer factors of 2643 that divides 2628 without a remainder.

1, 3, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2628 and 2643. The biggest common factor number is the GCF number.
So the greatest common factor 2628 and 2643 is 3.

Also check out the Least Common Multiple of 2628 and 2643