What is the Greatest Common Factor of 51865 and 51875?

Greatest common factor (GCF) of 51865 and 51875 is 5.

GCF(51865,51875) = 5

We will now calculate the prime factors of 51865 and 51875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51865 and 51875.

How to find the GCF of 51865 and 51875?

We will first find the prime factorization of 51865 and 51875. After we will calculate the factors of 51865 and 51875 and find the biggest common factor number .

Step-1: Prime Factorization of 51865

Prime factors of 51865 are 5, 11, 23, 41. Prime factorization of 51865 in exponential form is:

51865 = 5¹ × 11¹ × 23¹ × 41¹

Step-2: Prime Factorization of 51875

Prime factors of 51875 are 5, 83. Prime factorization of 51875 in exponential form is:

51875 = 5⁴ × 83¹

Step-3: Factors of 51865

List of positive integer factors of 51865 that divides 51865 without a remainder.

1, 5, 11, 23, 41, 55, 115, 205, 253, 451, 943, 1265, 2255, 4715, 10373

Step-4: Factors of 51875

List of positive integer factors of 51875 that divides 51865 without a remainder.

1, 5, 25, 83, 125, 415, 625, 2075, 10375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51865 and 51875. The biggest common factor number is the GCF number.
So the greatest common factor 51865 and 51875 is 5.

Also check out the Least Common Multiple of 51865 and 51875