What is the Greatest Common Factor of 33615 and 33635?

Greatest common factor (GCF) of 33615 and 33635 is 5.

GCF(33615,33635) = 5

We will now calculate the prime factors of 33615 and 33635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33615 and 33635.

How to find the GCF of 33615 and 33635?

We will first find the prime factorization of 33615 and 33635. After we will calculate the factors of 33615 and 33635 and find the biggest common factor number .

Step-1: Prime Factorization of 33615

Prime factors of 33615 are 3, 5, 83. Prime factorization of 33615 in exponential form is:

33615 = 3⁴ × 5¹ × 83¹

Step-2: 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-3: Factors of 33615

List of positive integer factors of 33615 that divides 33615 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 83, 135, 249, 405, 415, 747, 1245, 2241, 3735, 6723, 11205

Step-4: Factors of 33635

List of positive integer factors of 33635 that divides 33615 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33615 and 33635. The biggest common factor number is the GCF number.
So the greatest common factor 33615 and 33635 is 5.

Also check out the Least Common Multiple of 33615 and 33635