What is the Greatest Common Factor of 33663 and 33677?

Greatest common factor (GCF) of 33663 and 33677 is 7.

GCF(33663,33677) = 7

We will now calculate the prime factors of 33663 and 33677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33663 and 33677.

How to find the GCF of 33663 and 33677?

We will first find the prime factorization of 33663 and 33677. After we will calculate the factors of 33663 and 33677 and find the biggest common factor number .

Step-1: Prime Factorization of 33663

Prime factors of 33663 are 3, 7, 229. Prime factorization of 33663 in exponential form is:

33663 = 3¹ × 7² × 229¹

Step-2: Prime Factorization of 33677

Prime factors of 33677 are 7, 17, 283. Prime factorization of 33677 in exponential form is:

33677 = 7¹ × 17¹ × 283¹

Step-3: Factors of 33663

List of positive integer factors of 33663 that divides 33663 without a remainder.

1, 3, 7, 21, 49, 147, 229, 687, 1603, 4809, 11221

Step-4: Factors of 33677

List of positive integer factors of 33677 that divides 33663 without a remainder.

1, 7, 17, 119, 283, 1981, 4811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33663 and 33677. The biggest common factor number is the GCF number.
So the greatest common factor 33663 and 33677 is 7.

Also check out the Least Common Multiple of 33663 and 33677