What is the Greatest Common Factor of 13461 and 13470?

Greatest common factor (GCF) of 13461 and 13470 is 3.

GCF(13461,13470) = 3

We will now calculate the prime factors of 13461 and 13470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13461 and 13470.

How to find the GCF of 13461 and 13470?

We will first find the prime factorization of 13461 and 13470. After we will calculate the factors of 13461 and 13470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13470

Prime factors of 13470 are 2, 3, 5, 449. Prime factorization of 13470 in exponential form is:

13470 = 2¹ × 3¹ × 5¹ × 449¹

Step-3: Factors of 13461

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

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

Step-4: Factors of 13470

List of positive integer factors of 13470 that divides 13461 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13461 and 13470. The biggest common factor number is the GCF number.
So the greatest common factor 13461 and 13470 is 3.

Also check out the Least Common Multiple of 13461 and 13470