What is the Greatest Common Factor of 51864 and 51883?

Greatest common factor (GCF) of 51864 and 51883 is 1.

GCF(51864,51883) = 1

We will now calculate the prime factors of 51864 and 51883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51864 and 51883.

How to find the GCF of 51864 and 51883?

We will first find the prime factorization of 51864 and 51883. After we will calculate the factors of 51864 and 51883 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51883

Prime factors of 51883 are 13, 307. Prime factorization of 51883 in exponential form is:

51883 = 13² × 307¹

Step-3: Factors of 51864

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

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

Step-4: Factors of 51883

List of positive integer factors of 51883 that divides 51864 without a remainder.

1, 13, 169, 307, 3991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51864 and 51883. The biggest common factor number is the GCF number.
So the greatest common factor 51864 and 51883 is 1.

Also check out the Least Common Multiple of 51864 and 51883