What is the Greatest Common Factor of 33638 and 33649?

Greatest common factor (GCF) of 33638 and 33649 is 11.

GCF(33638,33649) = 11

We will now calculate the prime factors of 33638 and 33649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33638 and 33649.

How to find the GCF of 33638 and 33649?

We will first find the prime factorization of 33638 and 33649. After we will calculate the factors of 33638 and 33649 and find the biggest common factor number .

Step-1: Prime Factorization of 33638

Prime factors of 33638 are 2, 11, 139. Prime factorization of 33638 in exponential form is:

33638 = 2¹ × 11² × 139¹

Step-2: 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-3: Factors of 33638

List of positive integer factors of 33638 that divides 33638 without a remainder.

1, 2, 11, 22, 121, 139, 242, 278, 1529, 3058, 16819

Step-4: Factors of 33649

List of positive integer factors of 33649 that divides 33638 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33638 and 33649. The biggest common factor number is the GCF number.
So the greatest common factor 33638 and 33649 is 11.

Also check out the Least Common Multiple of 33638 and 33649