What is the Greatest Common Factor of 33640 and 33645?

Greatest common factor (GCF) of 33640 and 33645 is 5.

GCF(33640,33645) = 5

We will now calculate the prime factors of 33640 and 33645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33640 and 33645.

How to find the GCF of 33640 and 33645?

We will first find the prime factorization of 33640 and 33645. After we will calculate the factors of 33640 and 33645 and find the biggest common factor number .

Step-1: Prime Factorization of 33640

Prime factors of 33640 are 2, 5, 29. Prime factorization of 33640 in exponential form is:

33640 = 2³ × 5¹ × 29²

Step-2: Prime Factorization of 33645

Prime factors of 33645 are 3, 5, 2243. Prime factorization of 33645 in exponential form is:

33645 = 3¹ × 5¹ × 2243¹

Step-3: Factors of 33640

List of positive integer factors of 33640 that divides 33640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 841, 1160, 1682, 3364, 4205, 6728, 8410, 16820

Step-4: Factors of 33645

List of positive integer factors of 33645 that divides 33640 without a remainder.

1, 3, 5, 15, 2243, 6729, 11215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33640 and 33645. The biggest common factor number is the GCF number.
So the greatest common factor 33640 and 33645 is 5.

Also check out the Least Common Multiple of 33640 and 33645