What is the Greatest Common Factor of 494 and 513?

Greatest common factor (GCF) of 494 and 513 is 19.

GCF(494,513) = 19

We will now calculate the prime factors of 494 and 513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 494 and 513.

How to find the GCF of 494 and 513?

We will first find the prime factorization of 494 and 513. After we will calculate the factors of 494 and 513 and find the biggest common factor number .

Step-1: Prime Factorization of 494

Prime factors of 494 are 2, 13, 19. Prime factorization of 494 in exponential form is:

494 = 2¹ × 13¹ × 19¹

Step-2: Prime Factorization of 513

Prime factors of 513 are 3, 19. Prime factorization of 513 in exponential form is:

513 = 3³ × 19¹

Step-3: Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247

Step-4: Factors of 513

List of positive integer factors of 513 that divides 494 without a remainder.

1, 3, 9, 19, 27, 57, 171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 494 and 513. The biggest common factor number is the GCF number.
So the greatest common factor 494 and 513 is 19.

Also check out the Least Common Multiple of 494 and 513