What is the Greatest Common Factor of 33644 and 33657?

Greatest common factor (GCF) of 33644 and 33657 is 13.

GCF(33644,33657) = 13

We will now calculate the prime factors of 33644 and 33657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33644 and 33657.

How to find the GCF of 33644 and 33657?

We will first find the prime factorization of 33644 and 33657. After we will calculate the factors of 33644 and 33657 and find the biggest common factor number .

Step-1: Prime Factorization of 33644

Prime factors of 33644 are 2, 13, 647. Prime factorization of 33644 in exponential form is:

33644 = 2² × 13¹ × 647¹

Step-2: Prime Factorization of 33657

Prime factors of 33657 are 3, 13, 863. Prime factorization of 33657 in exponential form is:

33657 = 3¹ × 13¹ × 863¹

Step-3: Factors of 33644

List of positive integer factors of 33644 that divides 33644 without a remainder.

1, 2, 4, 13, 26, 52, 647, 1294, 2588, 8411, 16822

Step-4: Factors of 33657

List of positive integer factors of 33657 that divides 33644 without a remainder.

1, 3, 13, 39, 863, 2589, 11219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33644 and 33657. The biggest common factor number is the GCF number.
So the greatest common factor 33644 and 33657 is 13.

Also check out the Least Common Multiple of 33644 and 33657