What is the Greatest Common Factor of 2635 and 2655?

Greatest common factor (GCF) of 2635 and 2655 is 5.

GCF(2635,2655) = 5

We will now calculate the prime factors of 2635 and 2655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2635 and 2655.

How to find the GCF of 2635 and 2655?

We will first find the prime factorization of 2635 and 2655. After we will calculate the factors of 2635 and 2655 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 2655

Prime factors of 2655 are 3, 5, 59. Prime factorization of 2655 in exponential form is:

2655 = 3² × 5¹ × 59¹

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 2655

List of positive integer factors of 2655 that divides 2635 without a remainder.

1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2635 and 2655. The biggest common factor number is the GCF number.
So the greatest common factor 2635 and 2655 is 5.

Also check out the Least Common Multiple of 2635 and 2655