What is the Greatest Common Factor of 54509 and 54514?

Greatest common factor (GCF) of 54509 and 54514 is 1.

GCF(54509,54514) = 1

We will now calculate the prime factors of 54509 and 54514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54509 and 54514.

How to find the GCF of 54509 and 54514?

We will first find the prime factorization of 54509 and 54514. After we will calculate the factors of 54509 and 54514 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 54514

Prime factors of 54514 are 2, 97, 281. Prime factorization of 54514 in exponential form is:

54514 = 2¹ × 97¹ × 281¹

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 54514

List of positive integer factors of 54514 that divides 54509 without a remainder.

1, 2, 97, 194, 281, 562, 27257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54509 and 54514. The biggest common factor number is the GCF number.
So the greatest common factor 54509 and 54514 is 1.

Also check out the Least Common Multiple of 54509 and 54514