What is the Greatest Common Factor of 33649 and 33667?

Greatest common factor (GCF) of 33649 and 33667 is 1.

GCF(33649,33667) = 1

We will now calculate the prime factors of 33649 and 33667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33649 and 33667.

How to find the GCF of 33649 and 33667?

We will first find the prime factorization of 33649 and 33667. After we will calculate the factors of 33649 and 33667 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 33667

Prime factors of 33667 are 131, 257. Prime factorization of 33667 in exponential form is:

33667 = 131¹ × 257¹

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 33667

List of positive integer factors of 33667 that divides 33649 without a remainder.

1, 131, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33649 and 33667. The biggest common factor number is the GCF number.
So the greatest common factor 33649 and 33667 is 1.

Also check out the Least Common Multiple of 33649 and 33667