What is the Greatest Common Factor of 54688 and 54704?

Greatest common factor (GCF) of 54688 and 54704 is 16.

GCF(54688,54704) = 16

We will now calculate the prime factors of 54688 and 54704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54688 and 54704.

How to find the GCF of 54688 and 54704?

We will first find the prime factorization of 54688 and 54704. After we will calculate the factors of 54688 and 54704 and find the biggest common factor number .

Step-1: Prime Factorization of 54688

Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:

54688 = 2⁵ × 1709¹

Step-2: 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-3: Factors of 54688

List of positive integer factors of 54688 that divides 54688 without a remainder.

1, 2, 4, 8, 16, 32, 1709, 3418, 6836, 13672, 27344

Step-4: Factors of 54704

List of positive integer factors of 54704 that divides 54688 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54688 and 54704. The biggest common factor number is the GCF number.
So the greatest common factor 54688 and 54704 is 16.

Also check out the Least Common Multiple of 54688 and 54704