What is the Greatest Common Factor of 10476 and 10494?

Greatest common factor (GCF) of 10476 and 10494 is 18.

GCF(10476,10494) = 18

We will now calculate the prime factors of 10476 and 10494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10476 and 10494.

How to find the GCF of 10476 and 10494?

We will first find the prime factorization of 10476 and 10494. After we will calculate the factors of 10476 and 10494 and find the biggest common factor number .

Step-1: Prime Factorization of 10476

Prime factors of 10476 are 2, 3, 97. Prime factorization of 10476 in exponential form is:

10476 = 2² × 3³ × 97¹

Step-2: Prime Factorization of 10494

Prime factors of 10494 are 2, 3, 11, 53. Prime factorization of 10494 in exponential form is:

10494 = 2¹ × 3² × 11¹ × 53¹

Step-3: Factors of 10476

List of positive integer factors of 10476 that divides 10476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 97, 108, 194, 291, 388, 582, 873, 1164, 1746, 2619, 3492, 5238

Step-4: Factors of 10494

List of positive integer factors of 10494 that divides 10476 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 53, 66, 99, 106, 159, 198, 318, 477, 583, 954, 1166, 1749, 3498, 5247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10476 and 10494. The biggest common factor number is the GCF number.
So the greatest common factor 10476 and 10494 is 18.

Also check out the Least Common Multiple of 10476 and 10494