What is the Greatest Common Factor of 54704 and 54717?

Greatest common factor (GCF) of 54704 and 54717 is 13.

GCF(54704,54717) = 13

We will now calculate the prime factors of 54704 and 54717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54704 and 54717.

How to find the GCF of 54704 and 54717?

We will first find the prime factorization of 54704 and 54717. After we will calculate the factors of 54704 and 54717 and find the biggest common factor number .

Step-1: Prime Factorization of 54704

Prime factors of 54704 are 2, 13, 263. Prime factorization of 54704 in exponential form is:

54704 = 2⁴ × 13¹ × 263¹

Step-2: Prime Factorization of 54717

Prime factors of 54717 are 3, 13, 23, 61. Prime factorization of 54717 in exponential form is:

54717 = 3¹ × 13¹ × 23¹ × 61¹

Step-3: Factors of 54704

List of positive integer factors of 54704 that divides 54704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 263, 526, 1052, 2104, 3419, 4208, 6838, 13676, 27352

Step-4: Factors of 54717

List of positive integer factors of 54717 that divides 54704 without a remainder.

1, 3, 13, 23, 39, 61, 69, 183, 299, 793, 897, 1403, 2379, 4209, 18239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54704 and 54717. The biggest common factor number is the GCF number.
So the greatest common factor 54704 and 54717 is 13.

Also check out the Least Common Multiple of 54704 and 54717