What is the Greatest Common Factor of 54509 and 54515?

Greatest common factor (GCF) of 54509 and 54515 is 1.

GCF(54509,54515) = 1

We will now calculate the prime factors of 54509 and 54515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54509 and 54515.

How to find the GCF of 54509 and 54515?

We will first find the prime factorization of 54509 and 54515. After we will calculate the factors of 54509 and 54515 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 54515

Prime factors of 54515 are 5, 10903. Prime factorization of 54515 in exponential form is:

54515 = 5¹ × 10903¹

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 54515

List of positive integer factors of 54515 that divides 54509 without a remainder.

1, 5, 10903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54509 and 54515. The biggest common factor number is the GCF number.
So the greatest common factor 54509 and 54515 is 1.

Also check out the Least Common Multiple of 54509 and 54515