What is the Greatest Common Factor of 71405 and 71418?

Greatest common factor (GCF) of 71405 and 71418 is 1.

GCF(71405,71418) = 1

We will now calculate the prime factors of 71405 and 71418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71405 and 71418.

How to find the GCF of 71405 and 71418?

We will first find the prime factorization of 71405 and 71418. After we will calculate the factors of 71405 and 71418 and find the biggest common factor number .

Step-1: Prime Factorization of 71405

Prime factors of 71405 are 5, 14281. Prime factorization of 71405 in exponential form is:

71405 = 5¹ × 14281¹

Step-2: Prime Factorization of 71418

Prime factors of 71418 are 2, 3, 11903. Prime factorization of 71418 in exponential form is:

71418 = 2¹ × 3¹ × 11903¹

Step-3: Factors of 71405

List of positive integer factors of 71405 that divides 71405 without a remainder.

1, 5, 14281

Step-4: Factors of 71418

List of positive integer factors of 71418 that divides 71405 without a remainder.

1, 2, 3, 6, 11903, 23806, 35709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71405 and 71418. The biggest common factor number is the GCF number.
So the greatest common factor 71405 and 71418 is 1.

Also check out the Least Common Multiple of 71405 and 71418