What is the Greatest Common Factor of 2646 and 2661?

Greatest common factor (GCF) of 2646 and 2661 is 3.

GCF(2646,2661) = 3

We will now calculate the prime factors of 2646 and 2661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2646 and 2661.

How to find the GCF of 2646 and 2661?

We will first find the prime factorization of 2646 and 2661. After we will calculate the factors of 2646 and 2661 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 2661

Prime factors of 2661 are 3, 887. Prime factorization of 2661 in exponential form is:

2661 = 3¹ × 887¹

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 2661

List of positive integer factors of 2661 that divides 2646 without a remainder.

1, 3, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2646 and 2661. The biggest common factor number is the GCF number.
So the greatest common factor 2646 and 2661 is 3.

Also check out the Least Common Multiple of 2646 and 2661