What is the Greatest Common Factor of 51546 and 51561?

Greatest common factor (GCF) of 51546 and 51561 is 3.

GCF(51546,51561) = 3

We will now calculate the prime factors of 51546 and 51561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51546 and 51561.

How to find the GCF of 51546 and 51561?

We will first find the prime factorization of 51546 and 51561. After we will calculate the factors of 51546 and 51561 and find the biggest common factor number .

Step-1: Prime Factorization of 51546

Prime factors of 51546 are 2, 3, 11, 71. Prime factorization of 51546 in exponential form is:

51546 = 2¹ × 3¹ × 11² × 71¹

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 51546

List of positive integer factors of 51546 that divides 51546 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 121, 142, 213, 242, 363, 426, 726, 781, 1562, 2343, 4686, 8591, 17182, 25773

Step-4: Factors of 51561

List of positive integer factors of 51561 that divides 51546 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 51546 and 51561. The biggest common factor number is the GCF number.
So the greatest common factor 51546 and 51561 is 3.

Also check out the Least Common Multiple of 51546 and 51561