What is the Greatest Common Factor of 2650 and 2662?

Greatest common factor (GCF) of 2650 and 2662 is 2.

GCF(2650,2662) = 2

We will now calculate the prime factors of 2650 and 2662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2650 and 2662.

How to find the GCF of 2650 and 2662?

We will first find the prime factorization of 2650 and 2662. After we will calculate the factors of 2650 and 2662 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 2662

Prime factors of 2662 are 2, 11. Prime factorization of 2662 in exponential form is:

2662 = 2¹ × 11³

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 2662

List of positive integer factors of 2662 that divides 2650 without a remainder.

1, 2, 11, 22, 121, 242, 1331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2650 and 2662. The biggest common factor number is the GCF number.
So the greatest common factor 2650 and 2662 is 2.

Also check out the Least Common Multiple of 2650 and 2662