What is the Greatest Common Factor of 71385 and 71405?

Greatest common factor (GCF) of 71385 and 71405 is 5.

GCF(71385,71405) = 5

We will now calculate the prime factors of 71385 and 71405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71385 and 71405.

How to find the GCF of 71385 and 71405?

We will first find the prime factorization of 71385 and 71405. After we will calculate the factors of 71385 and 71405 and find the biggest common factor number .

Step-1: Prime Factorization of 71385

Prime factors of 71385 are 3, 5, 4759. Prime factorization of 71385 in exponential form is:

71385 = 3¹ × 5¹ × 4759¹

Step-2: Prime Factorization of 71405

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

71405 = 5¹ × 14281¹

Step-3: Factors of 71385

List of positive integer factors of 71385 that divides 71385 without a remainder.

1, 3, 5, 15, 4759, 14277, 23795

Step-4: Factors of 71405

List of positive integer factors of 71405 that divides 71385 without a remainder.

1, 5, 14281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71385 and 71405. The biggest common factor number is the GCF number.
So the greatest common factor 71385 and 71405 is 5.

Also check out the Least Common Multiple of 71385 and 71405