What is the Greatest Common Factor of 2635 and 2650?

Greatest common factor (GCF) of 2635 and 2650 is 5.

GCF(2635,2650) = 5

We will now calculate the prime factors of 2635 and 2650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2635 and 2650.

How to find the GCF of 2635 and 2650?

We will first find the prime factorization of 2635 and 2650. After we will calculate the factors of 2635 and 2650 and find the biggest common factor number .

Step-1: Prime Factorization of 2635

Prime factors of 2635 are 5, 17, 31. Prime factorization of 2635 in exponential form is:

2635 = 5¹ × 17¹ × 31¹

Step-2: 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-3: Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1, 5, 17, 31, 85, 155, 527

Step-4: Factors of 2650

List of positive integer factors of 2650 that divides 2635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2635 and 2650. The biggest common factor number is the GCF number.
So the greatest common factor 2635 and 2650 is 5.

Also check out the Least Common Multiple of 2635 and 2650