What is the Greatest Common Factor of 13634 and 13646?

Greatest common factor (GCF) of 13634 and 13646 is 2.

GCF(13634,13646) = 2

We will now calculate the prime factors of 13634 and 13646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13634 and 13646.

How to find the GCF of 13634 and 13646?

We will first find the prime factorization of 13634 and 13646. After we will calculate the factors of 13634 and 13646 and find the biggest common factor number .

Step-1: Prime Factorization of 13634

Prime factors of 13634 are 2, 17, 401. Prime factorization of 13634 in exponential form is:

13634 = 2¹ × 17¹ × 401¹

Step-2: Prime Factorization of 13646

Prime factors of 13646 are 2, 6823. Prime factorization of 13646 in exponential form is:

13646 = 2¹ × 6823¹

Step-3: Factors of 13634

List of positive integer factors of 13634 that divides 13634 without a remainder.

1, 2, 17, 34, 401, 802, 6817

Step-4: Factors of 13646

List of positive integer factors of 13646 that divides 13634 without a remainder.

1, 2, 6823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13634 and 13646. The biggest common factor number is the GCF number.
So the greatest common factor 13634 and 13646 is 2.

Also check out the Least Common Multiple of 13634 and 13646