What is the Greatest Common Factor of 54705 and 54723?

Greatest common factor (GCF) of 54705 and 54723 is 3.

GCF(54705,54723) = 3

We will now calculate the prime factors of 54705 and 54723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54705 and 54723.

How to find the GCF of 54705 and 54723?

We will first find the prime factorization of 54705 and 54723. After we will calculate the factors of 54705 and 54723 and find the biggest common factor number .

Step-1: Prime Factorization of 54705

Prime factors of 54705 are 3, 5, 7, 521. Prime factorization of 54705 in exponential form is:

54705 = 3¹ × 5¹ × 7¹ × 521¹

Step-2: Prime Factorization of 54723

Prime factors of 54723 are 3, 17, 29, 37. Prime factorization of 54723 in exponential form is:

54723 = 3¹ × 17¹ × 29¹ × 37¹

Step-3: Factors of 54705

List of positive integer factors of 54705 that divides 54705 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 521, 1563, 2605, 3647, 7815, 10941, 18235

Step-4: Factors of 54723

List of positive integer factors of 54723 that divides 54705 without a remainder.

1, 3, 17, 29, 37, 51, 87, 111, 493, 629, 1073, 1479, 1887, 3219, 18241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54705 and 54723. The biggest common factor number is the GCF number.
So the greatest common factor 54705 and 54723 is 3.

Also check out the Least Common Multiple of 54705 and 54723