What is the Greatest Common Factor of 54509 and 54522?

Greatest common factor (GCF) of 54509 and 54522 is 13.

GCF(54509,54522) = 13

We will now calculate the prime factors of 54509 and 54522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54509 and 54522.

How to find the GCF of 54509 and 54522?

We will first find the prime factorization of 54509 and 54522. After we will calculate the factors of 54509 and 54522 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 54522

Prime factors of 54522 are 2, 3, 13, 233. Prime factorization of 54522 in exponential form is:

54522 = 2¹ × 3² × 13¹ × 233¹

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 54522

List of positive integer factors of 54522 that divides 54509 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 233, 234, 466, 699, 1398, 2097, 3029, 4194, 6058, 9087, 18174, 27261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54509 and 54522. The biggest common factor number is the GCF number.
So the greatest common factor 54509 and 54522 is 13.

Also check out the Least Common Multiple of 54509 and 54522