What is the Greatest Common Factor of 33645 and 33661?

Greatest common factor (GCF) of 33645 and 33661 is 1.

GCF(33645,33661) = 1

We will now calculate the prime factors of 33645 and 33661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33645 and 33661.

How to find the GCF of 33645 and 33661?

We will first find the prime factorization of 33645 and 33661. After we will calculate the factors of 33645 and 33661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33661

Prime factors of 33661 are 41, 821. Prime factorization of 33661 in exponential form is:

33661 = 41¹ × 821¹

Step-3: Factors of 33645

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

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

Step-4: Factors of 33661

List of positive integer factors of 33661 that divides 33645 without a remainder.

1, 41, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33645 and 33661. The biggest common factor number is the GCF number.
So the greatest common factor 33645 and 33661 is 1.

Also check out the Least Common Multiple of 33645 and 33661