What is the Greatest Common Factor of 10478 and 10491?

Greatest common factor (GCF) of 10478 and 10491 is 13.

GCF(10478,10491) = 13

We will now calculate the prime factors of 10478 and 10491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10478 and 10491.

How to find the GCF of 10478 and 10491?

We will first find the prime factorization of 10478 and 10491. After we will calculate the factors of 10478 and 10491 and find the biggest common factor number .

Step-1: Prime Factorization of 10478

Prime factors of 10478 are 2, 13, 31. Prime factorization of 10478 in exponential form is:

10478 = 2¹ × 13² × 31¹

Step-2: Prime Factorization of 10491

Prime factors of 10491 are 3, 13, 269. Prime factorization of 10491 in exponential form is:

10491 = 3¹ × 13¹ × 269¹

Step-3: Factors of 10478

List of positive integer factors of 10478 that divides 10478 without a remainder.

1, 2, 13, 26, 31, 62, 169, 338, 403, 806, 5239

Step-4: Factors of 10491

List of positive integer factors of 10491 that divides 10478 without a remainder.

1, 3, 13, 39, 269, 807, 3497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10478 and 10491. The biggest common factor number is the GCF number.
So the greatest common factor 10478 and 10491 is 13.

Also check out the Least Common Multiple of 10478 and 10491