What is the Greatest Common Factor of 54509 and 54517?

Greatest common factor (GCF) of 54509 and 54517 is 1.

GCF(54509,54517) = 1

We will now calculate the prime factors of 54509 and 54517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54509 and 54517.

How to find the GCF of 54509 and 54517?

We will first find the prime factorization of 54509 and 54517. After we will calculate the factors of 54509 and 54517 and find the biggest common factor number .

Step-1: Prime Factorization of 54509

Prime factors of 54509 are 7, 13, 599. Prime factorization of 54509 in exponential form is:

54509 = 7¹ × 13¹ × 599¹

Step-2: Prime Factorization of 54517

Prime factors of 54517 are 54517. Prime factorization of 54517 in exponential form is:

54517 = 54517¹

Step-3: Factors of 54509

List of positive integer factors of 54509 that divides 54509 without a remainder.

1, 7, 13, 91, 599, 4193, 7787

Step-4: Factors of 54517

List of positive integer factors of 54517 that divides 54509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54509 and 54517. The biggest common factor number is the GCF number.
So the greatest common factor 54509 and 54517 is 1.

Also check out the Least Common Multiple of 54509 and 54517