What is the Greatest Common Factor of 54795 and 54808?

Greatest common factor (GCF) of 54795 and 54808 is 13.

GCF(54795,54808) = 13

We will now calculate the prime factors of 54795 and 54808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54795 and 54808.

How to find the GCF of 54795 and 54808?

We will first find the prime factorization of 54795 and 54808. After we will calculate the factors of 54795 and 54808 and find the biggest common factor number .

Step-1: Prime Factorization of 54795

Prime factors of 54795 are 3, 5, 13, 281. Prime factorization of 54795 in exponential form is:

54795 = 3¹ × 5¹ × 13¹ × 281¹

Step-2: Prime Factorization of 54808

Prime factors of 54808 are 2, 13, 17, 31. Prime factorization of 54808 in exponential form is:

54808 = 2³ × 13¹ × 17¹ × 31¹

Step-3: Factors of 54795

List of positive integer factors of 54795 that divides 54795 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 281, 843, 1405, 3653, 4215, 10959, 18265

Step-4: Factors of 54808

List of positive integer factors of 54808 that divides 54795 without a remainder.

1, 2, 4, 8, 13, 17, 26, 31, 34, 52, 62, 68, 104, 124, 136, 221, 248, 403, 442, 527, 806, 884, 1054, 1612, 1768, 2108, 3224, 4216, 6851, 13702, 27404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54795 and 54808. The biggest common factor number is the GCF number.
So the greatest common factor 54795 and 54808 is 13.

Also check out the Least Common Multiple of 54795 and 54808