What is the Greatest Common Factor of 33649 and 33668?

Greatest common factor (GCF) of 33649 and 33668 is 19.

GCF(33649,33668) = 19

We will now calculate the prime factors of 33649 and 33668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33649 and 33668.

How to find the GCF of 33649 and 33668?

We will first find the prime factorization of 33649 and 33668. After we will calculate the factors of 33649 and 33668 and find the biggest common factor number .

Step-1: Prime Factorization of 33649

Prime factors of 33649 are 7, 11, 19, 23. Prime factorization of 33649 in exponential form is:

33649 = 7¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 33668

Prime factors of 33668 are 2, 19, 443. Prime factorization of 33668 in exponential form is:

33668 = 2² × 19¹ × 443¹

Step-3: Factors of 33649

List of positive integer factors of 33649 that divides 33649 without a remainder.

1, 7, 11, 19, 23, 77, 133, 161, 209, 253, 437, 1463, 1771, 3059, 4807

Step-4: Factors of 33668

List of positive integer factors of 33668 that divides 33649 without a remainder.

1, 2, 4, 19, 38, 76, 443, 886, 1772, 8417, 16834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33649 and 33668. The biggest common factor number is the GCF number.
So the greatest common factor 33649 and 33668 is 19.

Also check out the Least Common Multiple of 33649 and 33668