What is the Greatest Common Factor of 2646 and 2664?

Greatest common factor (GCF) of 2646 and 2664 is 18.

GCF(2646,2664) = 18

We will now calculate the prime factors of 2646 and 2664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2646 and 2664.

How to find the GCF of 2646 and 2664?

We will first find the prime factorization of 2646 and 2664. After we will calculate the factors of 2646 and 2664 and find the biggest common factor number .

Step-1: Prime Factorization of 2646

Prime factors of 2646 are 2, 3, 7. Prime factorization of 2646 in exponential form is:

2646 = 2¹ × 3³ × 7²

Step-2: Prime Factorization of 2664

Prime factors of 2664 are 2, 3, 37. Prime factorization of 2664 in exponential form is:

2664 = 2³ × 3² × 37¹

Step-3: Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323

Step-4: Factors of 2664

List of positive integer factors of 2664 that divides 2646 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2646 and 2664. The biggest common factor number is the GCF number.
So the greatest common factor 2646 and 2664 is 18.

Also check out the Least Common Multiple of 2646 and 2664