What is the Greatest Common Factor of 17635 and 17655?

Greatest common factor (GCF) of 17635 and 17655 is 5.

GCF(17635,17655) = 5

We will now calculate the prime factors of 17635 and 17655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17635 and 17655.

How to find the GCF of 17635 and 17655?

We will first find the prime factorization of 17635 and 17655. After we will calculate the factors of 17635 and 17655 and find the biggest common factor number .

Step-1: Prime Factorization of 17635

Prime factors of 17635 are 5, 3527. Prime factorization of 17635 in exponential form is:

17635 = 5¹ × 3527¹

Step-2: Prime Factorization of 17655

Prime factors of 17655 are 3, 5, 11, 107. Prime factorization of 17655 in exponential form is:

17655 = 3¹ × 5¹ × 11¹ × 107¹

Step-3: Factors of 17635

List of positive integer factors of 17635 that divides 17635 without a remainder.

1, 5, 3527

Step-4: Factors of 17655

List of positive integer factors of 17655 that divides 17635 without a remainder.

1, 3, 5, 11, 15, 33, 55, 107, 165, 321, 535, 1177, 1605, 3531, 5885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17635 and 17655. The biggest common factor number is the GCF number.
So the greatest common factor 17635 and 17655 is 5.

Also check out the Least Common Multiple of 17635 and 17655