What is the Greatest Common Factor of 33649 and 33656?

Greatest common factor (GCF) of 33649 and 33656 is 7.

GCF(33649,33656) = 7

We will now calculate the prime factors of 33649 and 33656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33649 and 33656.

How to find the GCF of 33649 and 33656?

We will first find the prime factorization of 33649 and 33656. After we will calculate the factors of 33649 and 33656 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 33656

Prime factors of 33656 are 2, 7, 601. Prime factorization of 33656 in exponential form is:

33656 = 2³ × 7¹ × 601¹

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 33656

List of positive integer factors of 33656 that divides 33649 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 601, 1202, 2404, 4207, 4808, 8414, 16828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33649 and 33656. The biggest common factor number is the GCF number.
So the greatest common factor 33649 and 33656 is 7.

Also check out the Least Common Multiple of 33649 and 33656