What is the Greatest Common Factor of 51375 and 51383?

Greatest common factor (GCF) of 51375 and 51383 is 1.

GCF(51375,51383) = 1

We will now calculate the prime factors of 51375 and 51383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51375 and 51383.

How to find the GCF of 51375 and 51383?

We will first find the prime factorization of 51375 and 51383. After we will calculate the factors of 51375 and 51383 and find the biggest common factor number .

Step-1: Prime Factorization of 51375

Prime factors of 51375 are 3, 5, 137. Prime factorization of 51375 in exponential form is:

51375 = 3¹ × 5³ × 137¹

Step-2: Prime Factorization of 51383

Prime factors of 51383 are 51383. Prime factorization of 51383 in exponential form is:

51383 = 51383¹

Step-3: Factors of 51375

List of positive integer factors of 51375 that divides 51375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 137, 375, 411, 685, 2055, 3425, 10275, 17125

Step-4: Factors of 51383

List of positive integer factors of 51383 that divides 51375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51375 and 51383. The biggest common factor number is the GCF number.
So the greatest common factor 51375 and 51383 is 1.

Also check out the Least Common Multiple of 51375 and 51383