What is the Greatest Common Factor of 13754 and 13771?

Greatest common factor (GCF) of 13754 and 13771 is 1.

GCF(13754,13771) = 1

We will now calculate the prime factors of 13754 and 13771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13754 and 13771.

How to find the GCF of 13754 and 13771?

We will first find the prime factorization of 13754 and 13771. After we will calculate the factors of 13754 and 13771 and find the biggest common factor number .

Step-1: Prime Factorization of 13754

Prime factors of 13754 are 2, 13, 23. Prime factorization of 13754 in exponential form is:

13754 = 2¹ × 13¹ × 23²

Step-2: Prime Factorization of 13771

Prime factors of 13771 are 47, 293. Prime factorization of 13771 in exponential form is:

13771 = 47¹ × 293¹

Step-3: Factors of 13754

List of positive integer factors of 13754 that divides 13754 without a remainder.

1, 2, 13, 23, 26, 46, 299, 529, 598, 1058, 6877

Step-4: Factors of 13771

List of positive integer factors of 13771 that divides 13754 without a remainder.

1, 47, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13754 and 13771. The biggest common factor number is the GCF number.
So the greatest common factor 13754 and 13771 is 1.

Also check out the Least Common Multiple of 13754 and 13771