What is the Greatest Common Factor of 54705 and 54713?

Greatest common factor (GCF) of 54705 and 54713 is 1.

GCF(54705,54713) = 1

We will now calculate the prime factors of 54705 and 54713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54705 and 54713.

How to find the GCF of 54705 and 54713?

We will first find the prime factorization of 54705 and 54713. After we will calculate the factors of 54705 and 54713 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 54713

Prime factors of 54713 are 54713. Prime factorization of 54713 in exponential form is:

54713 = 54713¹

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 54713

List of positive integer factors of 54713 that divides 54705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54705 and 54713. The biggest common factor number is the GCF number.
So the greatest common factor 54705 and 54713 is 1.

Also check out the Least Common Multiple of 54705 and 54713