What is the Greatest Common Factor of 33635 and 33655?

Greatest common factor (GCF) of 33635 and 33655 is 5.

GCF(33635,33655) = 5

We will now calculate the prime factors of 33635 and 33655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33635 and 33655.

How to find the GCF of 33635 and 33655?

We will first find the prime factorization of 33635 and 33655. After we will calculate the factors of 33635 and 33655 and find the biggest common factor number .

Step-1: Prime Factorization of 33635

Prime factors of 33635 are 5, 7, 31. Prime factorization of 33635 in exponential form is:

33635 = 5¹ × 7¹ × 31²

Step-2: Prime Factorization of 33655

Prime factors of 33655 are 5, 53, 127. Prime factorization of 33655 in exponential form is:

33655 = 5¹ × 53¹ × 127¹

Step-3: Factors of 33635

List of positive integer factors of 33635 that divides 33635 without a remainder.

1, 5, 7, 31, 35, 155, 217, 961, 1085, 4805, 6727

Step-4: Factors of 33655

List of positive integer factors of 33655 that divides 33635 without a remainder.

1, 5, 53, 127, 265, 635, 6731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33635 and 33655. The biggest common factor number is the GCF number.
So the greatest common factor 33635 and 33655 is 5.

Also check out the Least Common Multiple of 33635 and 33655