What is the Greatest Common Factor of 71310 and 71329?

Greatest common factor (GCF) of 71310 and 71329 is 1.

GCF(71310,71329) = 1

We will now calculate the prime factors of 71310 and 71329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71310 and 71329.

How to find the GCF of 71310 and 71329?

We will first find the prime factorization of 71310 and 71329. After we will calculate the factors of 71310 and 71329 and find the biggest common factor number .

Step-1: Prime Factorization of 71310

Prime factors of 71310 are 2, 3, 5, 2377. Prime factorization of 71310 in exponential form is:

71310 = 2¹ × 3¹ × 5¹ × 2377¹

Step-2: Prime Factorization of 71329

Prime factors of 71329 are 71329. Prime factorization of 71329 in exponential form is:

71329 = 71329¹

Step-3: Factors of 71310

List of positive integer factors of 71310 that divides 71310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655

Step-4: Factors of 71329

List of positive integer factors of 71329 that divides 71310 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71310 and 71329. The biggest common factor number is the GCF number.
So the greatest common factor 71310 and 71329 is 1.

Also check out the Least Common Multiple of 71310 and 71329