What is the Greatest Common Factor of 71375 and 71383?

Greatest common factor (GCF) of 71375 and 71383 is 1.

GCF(71375,71383) = 1

We will now calculate the prime factors of 71375 and 71383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71375 and 71383.

How to find the GCF of 71375 and 71383?

We will first find the prime factorization of 71375 and 71383. After we will calculate the factors of 71375 and 71383 and find the biggest common factor number .

Step-1: Prime Factorization of 71375

Prime factors of 71375 are 5, 571. Prime factorization of 71375 in exponential form is:

71375 = 5³ × 571¹

Step-2: Prime Factorization of 71383

Prime factors of 71383 are 13, 17, 19. Prime factorization of 71383 in exponential form is:

71383 = 13¹ × 17² × 19¹

Step-3: Factors of 71375

List of positive integer factors of 71375 that divides 71375 without a remainder.

1, 5, 25, 125, 571, 2855, 14275

Step-4: Factors of 71383

List of positive integer factors of 71383 that divides 71375 without a remainder.

1, 13, 17, 19, 221, 247, 289, 323, 3757, 4199, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71375 and 71383. The biggest common factor number is the GCF number.
So the greatest common factor 71375 and 71383 is 1.

Also check out the Least Common Multiple of 71375 and 71383