What is the Greatest Common Factor of 10494 and 10509?

Greatest common factor (GCF) of 10494 and 10509 is 3.

GCF(10494,10509) = 3

We will now calculate the prime factors of 10494 and 10509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10494 and 10509.

How to find the GCF of 10494 and 10509?

We will first find the prime factorization of 10494 and 10509. After we will calculate the factors of 10494 and 10509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10509

Prime factors of 10509 are 3, 31, 113. Prime factorization of 10509 in exponential form is:

10509 = 3¹ × 31¹ × 113¹

Step-3: Factors of 10494

List of positive integer factors of 10494 that divides 10494 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

Step-4: Factors of 10509

List of positive integer factors of 10509 that divides 10494 without a remainder.

1, 3, 31, 93, 113, 339, 3503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10494 and 10509. The biggest common factor number is the GCF number.
So the greatest common factor 10494 and 10509 is 3.

Also check out the Least Common Multiple of 10494 and 10509