What is the Greatest Common Factor of 54704 and 54714?

Greatest common factor (GCF) of 54704 and 54714 is 2.

GCF(54704,54714) = 2

We will now calculate the prime factors of 54704 and 54714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54704 and 54714.

How to find the GCF of 54704 and 54714?

We will first find the prime factorization of 54704 and 54714. After we will calculate the factors of 54704 and 54714 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 54714

Prime factors of 54714 are 2, 3, 11, 829. Prime factorization of 54714 in exponential form is:

54714 = 2¹ × 3¹ × 11¹ × 829¹

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 54714

List of positive integer factors of 54714 that divides 54704 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 829, 1658, 2487, 4974, 9119, 18238, 27357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54704 and 54714. The biggest common factor number is the GCF number.
So the greatest common factor 54704 and 54714 is 2.

Also check out the Least Common Multiple of 54704 and 54714