What is the Greatest Common Factor of 54009 and 54026?

Greatest common factor (GCF) of 54009 and 54026 is 17.

GCF(54009,54026) = 17

We will now calculate the prime factors of 54009 and 54026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54009 and 54026.

How to find the GCF of 54009 and 54026?

We will first find the prime factorization of 54009 and 54026. After we will calculate the factors of 54009 and 54026 and find the biggest common factor number .

Step-1: Prime Factorization of 54009

Prime factors of 54009 are 3, 17, 353. Prime factorization of 54009 in exponential form is:

54009 = 3² × 17¹ × 353¹

Step-2: Prime Factorization of 54026

Prime factors of 54026 are 2, 7, 17, 227. Prime factorization of 54026 in exponential form is:

54026 = 2¹ × 7¹ × 17¹ × 227¹

Step-3: Factors of 54009

List of positive integer factors of 54009 that divides 54009 without a remainder.

1, 3, 9, 17, 51, 153, 353, 1059, 3177, 6001, 18003

Step-4: Factors of 54026

List of positive integer factors of 54026 that divides 54009 without a remainder.

1, 2, 7, 14, 17, 34, 119, 227, 238, 454, 1589, 3178, 3859, 7718, 27013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54009 and 54026. The biggest common factor number is the GCF number.
So the greatest common factor 54009 and 54026 is 17.

Also check out the Least Common Multiple of 54009 and 54026