What is the Greatest Common Factor of 54704 and 54715?

Greatest common factor (GCF) of 54704 and 54715 is 1.

GCF(54704,54715) = 1

We will now calculate the prime factors of 54704 and 54715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54704 and 54715.

How to find the GCF of 54704 and 54715?

We will first find the prime factorization of 54704 and 54715. After we will calculate the factors of 54704 and 54715 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 54715

Prime factors of 54715 are 5, 31, 353. Prime factorization of 54715 in exponential form is:

54715 = 5¹ × 31¹ × 353¹

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 54715

List of positive integer factors of 54715 that divides 54704 without a remainder.

1, 5, 31, 155, 353, 1765, 10943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54704 and 54715. The biggest common factor number is the GCF number.
So the greatest common factor 54704 and 54715 is 1.

Also check out the Least Common Multiple of 54704 and 54715