What is the Greatest Common Factor of 13454 and 13461?

Greatest common factor (GCF) of 13454 and 13461 is 7.

GCF(13454,13461) = 7

We will now calculate the prime factors of 13454 and 13461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13454 and 13461.

How to find the GCF of 13454 and 13461?

We will first find the prime factorization of 13454 and 13461. After we will calculate the factors of 13454 and 13461 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 13461

Prime factors of 13461 are 3, 7, 641. Prime factorization of 13461 in exponential form is:

13461 = 3¹ × 7¹ × 641¹

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 13461

List of positive integer factors of 13461 that divides 13454 without a remainder.

1, 3, 7, 21, 641, 1923, 4487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13454 and 13461. The biggest common factor number is the GCF number.
So the greatest common factor 13454 and 13461 is 7.

Also check out the Least Common Multiple of 13454 and 13461