What is the Greatest Common Factor of 51543 and 51561?

Greatest common factor (GCF) of 51543 and 51561 is 9.

GCF(51543,51561) = 9

We will now calculate the prime factors of 51543 and 51561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51543 and 51561.

How to find the GCF of 51543 and 51561?

We will first find the prime factorization of 51543 and 51561. After we will calculate the factors of 51543 and 51561 and find the biggest common factor number .

Step-1: Prime Factorization of 51543

Prime factors of 51543 are 3, 23, 83. Prime factorization of 51543 in exponential form is:

51543 = 3³ × 23¹ × 83¹

Step-2: Prime Factorization of 51561

Prime factors of 51561 are 3, 17, 337. Prime factorization of 51561 in exponential form is:

51561 = 3² × 17¹ × 337¹

Step-3: Factors of 51543

List of positive integer factors of 51543 that divides 51543 without a remainder.

1, 3, 9, 23, 27, 69, 83, 207, 249, 621, 747, 1909, 2241, 5727, 17181

Step-4: Factors of 51561

List of positive integer factors of 51561 that divides 51543 without a remainder.

1, 3, 9, 17, 51, 153, 337, 1011, 3033, 5729, 17187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51543 and 51561. The biggest common factor number is the GCF number.
So the greatest common factor 51543 and 51561 is 9.

Also check out the Least Common Multiple of 51543 and 51561