What is the Greatest Common Factor of 13634 and 13643?

Greatest common factor (GCF) of 13634 and 13643 is 1.

GCF(13634,13643) = 1

We will now calculate the prime factors of 13634 and 13643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13634 and 13643.

How to find the GCF of 13634 and 13643?

We will first find the prime factorization of 13634 and 13643. After we will calculate the factors of 13634 and 13643 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 13643

Prime factors of 13643 are 7, 1949. Prime factorization of 13643 in exponential form is:

13643 = 7¹ × 1949¹

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 13643

List of positive integer factors of 13643 that divides 13634 without a remainder.

1, 7, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13634 and 13643. The biggest common factor number is the GCF number.
So the greatest common factor 13634 and 13643 is 1.

Also check out the Least Common Multiple of 13634 and 13643