What is the Greatest Common Factor of 13454 and 13463?

Greatest common factor (GCF) of 13454 and 13463 is 1.

GCF(13454,13463) = 1

We will now calculate the prime factors of 13454 and 13463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13454 and 13463.

How to find the GCF of 13454 and 13463?

We will first find the prime factorization of 13454 and 13463. After we will calculate the factors of 13454 and 13463 and find the biggest common factor number .

Step-1: Prime Factorization of 13454

Prime factors of 13454 are 2, 7, 31. Prime factorization of 13454 in exponential form is:

13454 = 2¹ × 7¹ × 31²

Step-2: Prime Factorization of 13463

Prime factors of 13463 are 13463. Prime factorization of 13463 in exponential form is:

13463 = 13463¹

Step-3: Factors of 13454

List of positive integer factors of 13454 that divides 13454 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434, 961, 1922, 6727

Step-4: Factors of 13463

List of positive integer factors of 13463 that divides 13454 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13454 and 13463. The biggest common factor number is the GCF number.
So the greatest common factor 13454 and 13463 is 1.

Also check out the Least Common Multiple of 13454 and 13463