What is the Greatest Common Factor of 2650 and 2668?

Greatest common factor (GCF) of 2650 and 2668 is 2.

GCF(2650,2668) = 2

We will now calculate the prime factors of 2650 and 2668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2650 and 2668.

How to find the GCF of 2650 and 2668?

We will first find the prime factorization of 2650 and 2668. After we will calculate the factors of 2650 and 2668 and find the biggest common factor number .

Step-1: Prime Factorization of 2650

Prime factors of 2650 are 2, 5, 53. Prime factorization of 2650 in exponential form is:

2650 = 2¹ × 5² × 53¹

Step-2: Prime Factorization of 2668

Prime factors of 2668 are 2, 23, 29. Prime factorization of 2668 in exponential form is:

2668 = 2² × 23¹ × 29¹

Step-3: Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325

Step-4: Factors of 2668

List of positive integer factors of 2668 that divides 2650 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2650 and 2668. The biggest common factor number is the GCF number.
So the greatest common factor 2650 and 2668 is 2.

Also check out the Least Common Multiple of 2650 and 2668