What is the Greatest Common Factor of 40375 and 40393?

Greatest common factor (GCF) of 40375 and 40393 is 1.

GCF(40375,40393) = 1

We will now calculate the prime factors of 40375 and 40393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40375 and 40393.

How to find the GCF of 40375 and 40393?

We will first find the prime factorization of 40375 and 40393. After we will calculate the factors of 40375 and 40393 and find the biggest common factor number .

Step-1: Prime Factorization of 40375

Prime factors of 40375 are 5, 17, 19. Prime factorization of 40375 in exponential form is:

40375 = 5³ × 17¹ × 19¹

Step-2: Prime Factorization of 40393

Prime factors of 40393 are 31, 1303. Prime factorization of 40393 in exponential form is:

40393 = 31¹ × 1303¹

Step-3: Factors of 40375

List of positive integer factors of 40375 that divides 40375 without a remainder.

1, 5, 17, 19, 25, 85, 95, 125, 323, 425, 475, 1615, 2125, 2375, 8075

Step-4: Factors of 40393

List of positive integer factors of 40393 that divides 40375 without a remainder.

1, 31, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40375 and 40393. The biggest common factor number is the GCF number.
So the greatest common factor 40375 and 40393 is 1.

Also check out the Least Common Multiple of 40375 and 40393