What is the Greatest Common Factor of 2654 and 2664?

Greatest common factor (GCF) of 2654 and 2664 is 2.

GCF(2654,2664) = 2

We will now calculate the prime factors of 2654 and 2664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2654 and 2664.

How to find the GCF of 2654 and 2664?

We will first find the prime factorization of 2654 and 2664. After we will calculate the factors of 2654 and 2664 and find the biggest common factor number .

Step-1: Prime Factorization of 2654

Prime factors of 2654 are 2, 1327. Prime factorization of 2654 in exponential form is:

2654 = 2¹ × 1327¹

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 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1, 2, 1327

Step-4: Factors of 2664

List of positive integer factors of 2664 that divides 2654 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 2654 and 2664. The biggest common factor number is the GCF number.
So the greatest common factor 2654 and 2664 is 2.

Also check out the Least Common Multiple of 2654 and 2664