What is the Greatest Common Factor of 51825 and 51844?

Greatest common factor (GCF) of 51825 and 51844 is 1.

GCF(51825,51844) = 1

We will now calculate the prime factors of 51825 and 51844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51825 and 51844.

How to find the GCF of 51825 and 51844?

We will first find the prime factorization of 51825 and 51844. After we will calculate the factors of 51825 and 51844 and find the biggest common factor number .

Step-1: Prime Factorization of 51825

Prime factors of 51825 are 3, 5, 691. Prime factorization of 51825 in exponential form is:

51825 = 3¹ × 5² × 691¹

Step-2: 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-3: Factors of 51825

List of positive integer factors of 51825 that divides 51825 without a remainder.

1, 3, 5, 15, 25, 75, 691, 2073, 3455, 10365, 17275

Step-4: Factors of 51844

List of positive integer factors of 51844 that divides 51825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51825 and 51844. The biggest common factor number is the GCF number.
So the greatest common factor 51825 and 51844 is 1.

Also check out the Least Common Multiple of 51825 and 51844