What is the Greatest Common Factor of 54791 and 54808?

Greatest common factor (GCF) of 54791 and 54808 is 17.

GCF(54791,54808) = 17

We will now calculate the prime factors of 54791 and 54808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54791 and 54808.

How to find the GCF of 54791 and 54808?

We will first find the prime factorization of 54791 and 54808. After we will calculate the factors of 54791 and 54808 and find the biggest common factor number .

Step-1: Prime Factorization of 54791

Prime factors of 54791 are 11, 17, 293. Prime factorization of 54791 in exponential form is:

54791 = 11¹ × 17¹ × 293¹

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 54791

List of positive integer factors of 54791 that divides 54791 without a remainder.

1, 11, 17, 187, 293, 3223, 4981

Step-4: Factors of 54808

List of positive integer factors of 54808 that divides 54791 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 54791 and 54808. The biggest common factor number is the GCF number.
So the greatest common factor 54791 and 54808 is 17.

Also check out the Least Common Multiple of 54791 and 54808