What is the Greatest Common Factor of 51875 and 51883?

Greatest common factor (GCF) of 51875 and 51883 is 1.

GCF(51875,51883) = 1

We will now calculate the prime factors of 51875 and 51883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51875 and 51883.

How to find the GCF of 51875 and 51883?

We will first find the prime factorization of 51875 and 51883. After we will calculate the factors of 51875 and 51883 and find the biggest common factor number .

Step-1: Prime Factorization of 51875

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

51875 = 5⁴ × 83¹

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 51875

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

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

Step-4: Factors of 51883

List of positive integer factors of 51883 that divides 51875 without a remainder.

1, 13, 169, 307, 3991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51875 and 51883. The biggest common factor number is the GCF number.
So the greatest common factor 51875 and 51883 is 1.

Also check out the Least Common Multiple of 51875 and 51883