What is the Greatest Common Factor of 51846 and 51864?

Greatest common factor (GCF) of 51846 and 51864 is 6.

GCF(51846,51864) = 6

We will now calculate the prime factors of 51846 and 51864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51846 and 51864.

How to find the GCF of 51846 and 51864?

We will first find the prime factorization of 51846 and 51864. After we will calculate the factors of 51846 and 51864 and find the biggest common factor number .

Step-1: Prime Factorization of 51846

Prime factors of 51846 are 2, 3, 8641. Prime factorization of 51846 in exponential form is:

51846 = 2¹ × 3¹ × 8641¹

Step-2: Prime Factorization of 51864

Prime factors of 51864 are 2, 3, 2161. Prime factorization of 51864 in exponential form is:

51864 = 2³ × 3¹ × 2161¹

Step-3: Factors of 51846

List of positive integer factors of 51846 that divides 51846 without a remainder.

1, 2, 3, 6, 8641, 17282, 25923

Step-4: Factors of 51864

List of positive integer factors of 51864 that divides 51846 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2161, 4322, 6483, 8644, 12966, 17288, 25932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51846 and 51864. The biggest common factor number is the GCF number.
So the greatest common factor 51846 and 51864 is 6.

Also check out the Least Common Multiple of 51846 and 51864