What is the Greatest Common Factor of 10464 and 10473?

Greatest common factor (GCF) of 10464 and 10473 is 3.

GCF(10464,10473) = 3

We will now calculate the prime factors of 10464 and 10473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10464 and 10473.

How to find the GCF of 10464 and 10473?

We will first find the prime factorization of 10464 and 10473. After we will calculate the factors of 10464 and 10473 and find the biggest common factor number .

Step-1: Prime Factorization of 10464

Prime factors of 10464 are 2, 3, 109. Prime factorization of 10464 in exponential form is:

10464 = 2⁵ × 3¹ × 109¹

Step-2: Prime Factorization of 10473

Prime factors of 10473 are 3, 3491. Prime factorization of 10473 in exponential form is:

10473 = 3¹ × 3491¹

Step-3: Factors of 10464

List of positive integer factors of 10464 that divides 10464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232

Step-4: Factors of 10473

List of positive integer factors of 10473 that divides 10464 without a remainder.

1, 3, 3491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10464 and 10473. The biggest common factor number is the GCF number.
So the greatest common factor 10464 and 10473 is 3.

Also check out the Least Common Multiple of 10464 and 10473