What is the Greatest Common Factor of 71385 and 71391?

Greatest common factor (GCF) of 71385 and 71391 is 3.

GCF(71385,71391) = 3

We will now calculate the prime factors of 71385 and 71391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71385 and 71391.

How to find the GCF of 71385 and 71391?

We will first find the prime factorization of 71385 and 71391. After we will calculate the factors of 71385 and 71391 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 71391

Prime factors of 71391 are 3, 53, 449. Prime factorization of 71391 in exponential form is:

71391 = 3¹ × 53¹ × 449¹

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 71391

List of positive integer factors of 71391 that divides 71385 without a remainder.

1, 3, 53, 159, 449, 1347, 23797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71385 and 71391. The biggest common factor number is the GCF number.
So the greatest common factor 71385 and 71391 is 3.

Also check out the Least Common Multiple of 71385 and 71391