What is the Greatest Common Factor of 71265 and 71271?

Greatest common factor (GCF) of 71265 and 71271 is 3.

GCF(71265,71271) = 3

We will now calculate the prime factors of 71265 and 71271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71265 and 71271.

How to find the GCF of 71265 and 71271?

We will first find the prime factorization of 71265 and 71271. After we will calculate the factors of 71265 and 71271 and find the biggest common factor number .

Step-1: Prime Factorization of 71265

Prime factors of 71265 are 3, 5, 4751. Prime factorization of 71265 in exponential form is:

71265 = 3¹ × 5¹ × 4751¹

Step-2: Prime Factorization of 71271

Prime factors of 71271 are 3, 7919. Prime factorization of 71271 in exponential form is:

71271 = 3² × 7919¹

Step-3: Factors of 71265

List of positive integer factors of 71265 that divides 71265 without a remainder.

1, 3, 5, 15, 4751, 14253, 23755

Step-4: Factors of 71271

List of positive integer factors of 71271 that divides 71265 without a remainder.

1, 3, 9, 7919, 23757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71265 and 71271. The biggest common factor number is the GCF number.
So the greatest common factor 71265 and 71271 is 3.

Also check out the Least Common Multiple of 71265 and 71271