What is the Greatest Common Factor of 13458 and 13464?

Greatest common factor (GCF) of 13458 and 13464 is 6.

GCF(13458,13464) = 6

We will now calculate the prime factors of 13458 and 13464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13458 and 13464.

How to find the GCF of 13458 and 13464?

We will first find the prime factorization of 13458 and 13464. After we will calculate the factors of 13458 and 13464 and find the biggest common factor number .

Step-1: Prime Factorization of 13458

Prime factors of 13458 are 2, 3, 2243. Prime factorization of 13458 in exponential form is:

13458 = 2¹ × 3¹ × 2243¹

Step-2: Prime Factorization of 13464

Prime factors of 13464 are 2, 3, 11, 17. Prime factorization of 13464 in exponential form is:

13464 = 2³ × 3² × 11¹ × 17¹

Step-3: Factors of 13458

List of positive integer factors of 13458 that divides 13458 without a remainder.

1, 2, 3, 6, 2243, 4486, 6729

Step-4: Factors of 13464

List of positive integer factors of 13464 that divides 13458 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 33, 34, 36, 44, 51, 66, 68, 72, 88, 99, 102, 132, 136, 153, 187, 198, 204, 264, 306, 374, 396, 408, 561, 612, 748, 792, 1122, 1224, 1496, 1683, 2244, 3366, 4488, 6732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13458 and 13464. The biggest common factor number is the GCF number.
So the greatest common factor 13458 and 13464 is 6.

Also check out the Least Common Multiple of 13458 and 13464