What is the Greatest Common Factor of 33644 and 33654?

Greatest common factor (GCF) of 33644 and 33654 is 2.

GCF(33644,33654) = 2

We will now calculate the prime factors of 33644 and 33654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33644 and 33654.

How to find the GCF of 33644 and 33654?

We will first find the prime factorization of 33644 and 33654. After we will calculate the factors of 33644 and 33654 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 33654

Prime factors of 33654 are 2, 3, 71, 79. Prime factorization of 33654 in exponential form is:

33654 = 2¹ × 3¹ × 71¹ × 79¹

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 33654

List of positive integer factors of 33654 that divides 33644 without a remainder.

1, 2, 3, 6, 71, 79, 142, 158, 213, 237, 426, 474, 5609, 11218, 16827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33644 and 33654. The biggest common factor number is the GCF number.
So the greatest common factor 33644 and 33654 is 2.

Also check out the Least Common Multiple of 33644 and 33654