What is the Greatest Common Factor of 33634 and 33644?

Greatest common factor (GCF) of 33634 and 33644 is 2.

GCF(33634,33644) = 2

We will now calculate the prime factors of 33634 and 33644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33634 and 33644.

How to find the GCF of 33634 and 33644?

We will first find the prime factorization of 33634 and 33644. After we will calculate the factors of 33634 and 33644 and find the biggest common factor number .

Step-1: Prime Factorization of 33634

Prime factors of 33634 are 2, 67, 251. Prime factorization of 33634 in exponential form is:

33634 = 2¹ × 67¹ × 251¹

Step-2: 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-3: Factors of 33634

List of positive integer factors of 33634 that divides 33634 without a remainder.

1, 2, 67, 134, 251, 502, 16817

Step-4: Factors of 33644

List of positive integer factors of 33644 that divides 33634 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33634 and 33644. The biggest common factor number is the GCF number.
So the greatest common factor 33634 and 33644 is 2.

Also check out the Least Common Multiple of 33634 and 33644