What is the Greatest Common Factor of 51844 and 51857?

Greatest common factor (GCF) of 51844 and 51857 is 13.

GCF(51844,51857) = 13

We will now calculate the prime factors of 51844 and 51857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51844 and 51857.

How to find the GCF of 51844 and 51857?

We will first find the prime factorization of 51844 and 51857. After we will calculate the factors of 51844 and 51857 and find the biggest common factor number .

Step-1: Prime Factorization of 51844

Prime factors of 51844 are 2, 13, 997. Prime factorization of 51844 in exponential form is:

51844 = 2² × 13¹ × 997¹

Step-2: Prime Factorization of 51857

Prime factors of 51857 are 13, 3989. Prime factorization of 51857 in exponential form is:

51857 = 13¹ × 3989¹

Step-3: Factors of 51844

List of positive integer factors of 51844 that divides 51844 without a remainder.

1, 2, 4, 13, 26, 52, 997, 1994, 3988, 12961, 25922

Step-4: Factors of 51857

List of positive integer factors of 51857 that divides 51844 without a remainder.

1, 13, 3989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51844 and 51857. The biggest common factor number is the GCF number.
So the greatest common factor 51844 and 51857 is 13.

Also check out the Least Common Multiple of 51844 and 51857