What is the Greatest Common Factor of 56498 and 56511?

Greatest common factor (GCF) of 56498 and 56511 is 13.

GCF(56498,56511) = 13

We will now calculate the prime factors of 56498 and 56511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56498 and 56511.

How to find the GCF of 56498 and 56511?

We will first find the prime factorization of 56498 and 56511. After we will calculate the factors of 56498 and 56511 and find the biggest common factor number .

Step-1: Prime Factorization of 56498

Prime factors of 56498 are 2, 13, 41, 53. Prime factorization of 56498 in exponential form is:

56498 = 2¹ × 13¹ × 41¹ × 53¹

Step-2: Prime Factorization of 56511

Prime factors of 56511 are 3, 7, 13, 23. Prime factorization of 56511 in exponential form is:

56511 = 3³ × 7¹ × 13¹ × 23¹

Step-3: Factors of 56498

List of positive integer factors of 56498 that divides 56498 without a remainder.

1, 2, 13, 26, 41, 53, 82, 106, 533, 689, 1066, 1378, 2173, 4346, 28249

Step-4: Factors of 56511

List of positive integer factors of 56511 that divides 56498 without a remainder.

1, 3, 7, 9, 13, 21, 23, 27, 39, 63, 69, 91, 117, 161, 189, 207, 273, 299, 351, 483, 621, 819, 897, 1449, 2093, 2457, 2691, 4347, 6279, 8073, 18837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56498 and 56511. The biggest common factor number is the GCF number.
So the greatest common factor 56498 and 56511 is 13.

Also check out the Least Common Multiple of 56498 and 56511