What is the Greatest Common Factor of 2664 and 2674?

Greatest common factor (GCF) of 2664 and 2674 is 2.

GCF(2664,2674) = 2

We will now calculate the prime factors of 2664 and 2674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2664 and 2674.

How to find the GCF of 2664 and 2674?

We will first find the prime factorization of 2664 and 2674. After we will calculate the factors of 2664 and 2674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2674

Prime factors of 2674 are 2, 7, 191. Prime factorization of 2674 in exponential form is:

2674 = 2¹ × 7¹ × 191¹

Step-3: Factors of 2664

List of positive integer factors of 2664 that divides 2664 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

Step-4: Factors of 2674

List of positive integer factors of 2674 that divides 2664 without a remainder.

1, 2, 7, 14, 191, 382, 1337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2664 and 2674. The biggest common factor number is the GCF number.
So the greatest common factor 2664 and 2674 is 2.

Also check out the Least Common Multiple of 2664 and 2674