What is the Greatest Common Factor of 54705 and 54721?

Greatest common factor (GCF) of 54705 and 54721 is 1.

GCF(54705,54721) = 1

We will now calculate the prime factors of 54705 and 54721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54705 and 54721.

How to find the GCF of 54705 and 54721?

We will first find the prime factorization of 54705 and 54721. After we will calculate the factors of 54705 and 54721 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 54721

Prime factors of 54721 are 54721. Prime factorization of 54721 in exponential form is:

54721 = 54721¹

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 54721

List of positive integer factors of 54721 that divides 54705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54705 and 54721. The biggest common factor number is the GCF number.
So the greatest common factor 54705 and 54721 is 1.

Also check out the Least Common Multiple of 54705 and 54721