What is the Greatest Common Factor of 33634 and 33638?

Greatest common factor (GCF) of 33634 and 33638 is 2.

GCF(33634,33638) = 2

We will now calculate the prime factors of 33634 and 33638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33634 and 33638.

How to find the GCF of 33634 and 33638?

We will first find the prime factorization of 33634 and 33638. After we will calculate the factors of 33634 and 33638 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 33638

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

33638 = 2¹ × 11² × 139¹

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 33638

List of positive integer factors of 33638 that divides 33634 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33634 and 33638. The biggest common factor number is the GCF number.
So the greatest common factor 33634 and 33638 is 2.

Also check out the Least Common Multiple of 33634 and 33638