What is the Greatest Common Factor of 17635 and 17650?

Greatest common factor (GCF) of 17635 and 17650 is 5.

GCF(17635,17650) = 5

We will now calculate the prime factors of 17635 and 17650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17635 and 17650.

How to find the GCF of 17635 and 17650?

We will first find the prime factorization of 17635 and 17650. After we will calculate the factors of 17635 and 17650 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 17650

Prime factors of 17650 are 2, 5, 353. Prime factorization of 17650 in exponential form is:

17650 = 2¹ × 5² × 353¹

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 17650

List of positive integer factors of 17650 that divides 17635 without a remainder.

1, 2, 5, 10, 25, 50, 353, 706, 1765, 3530, 8825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17635 and 17650. The biggest common factor number is the GCF number.
So the greatest common factor 17635 and 17650 is 5.

Also check out the Least Common Multiple of 17635 and 17650