What is the Greatest Common Factor of 33677 and 33694?

Greatest common factor (GCF) of 33677 and 33694 is 17.

GCF(33677,33694) = 17

We will now calculate the prime factors of 33677 and 33694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33677 and 33694.

How to find the GCF of 33677 and 33694?

We will first find the prime factorization of 33677 and 33694. After we will calculate the factors of 33677 and 33694 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33694

Prime factors of 33694 are 2, 17, 991. Prime factorization of 33694 in exponential form is:

33694 = 2¹ × 17¹ × 991¹

Step-3: Factors of 33677

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

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

Step-4: Factors of 33694

List of positive integer factors of 33694 that divides 33677 without a remainder.

1, 2, 17, 34, 991, 1982, 16847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33677 and 33694. The biggest common factor number is the GCF number.
So the greatest common factor 33677 and 33694 is 17.

Also check out the Least Common Multiple of 33677 and 33694