What is the Greatest Common Factor of 51852 and 51859?

Greatest common factor (GCF) of 51852 and 51859 is 1.

GCF(51852,51859) = 1

We will now calculate the prime factors of 51852 and 51859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51852 and 51859.

How to find the GCF of 51852 and 51859?

We will first find the prime factorization of 51852 and 51859. After we will calculate the factors of 51852 and 51859 and find the biggest common factor number .

Step-1: Prime Factorization of 51852

Prime factors of 51852 are 2, 3, 29, 149. Prime factorization of 51852 in exponential form is:

51852 = 2² × 3¹ × 29¹ × 149¹

Step-2: Prime Factorization of 51859

Prime factors of 51859 are 51859. Prime factorization of 51859 in exponential form is:

51859 = 51859¹

Step-3: Factors of 51852

List of positive integer factors of 51852 that divides 51852 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 149, 174, 298, 348, 447, 596, 894, 1788, 4321, 8642, 12963, 17284, 25926

Step-4: Factors of 51859

List of positive integer factors of 51859 that divides 51852 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51852 and 51859. The biggest common factor number is the GCF number.
So the greatest common factor 51852 and 51859 is 1.

Also check out the Least Common Multiple of 51852 and 51859