What is the Greatest Common Factor of 71901 and 71913?

Greatest common factor (GCF) of 71901 and 71913 is 3.

GCF(71901,71913) = 3

We will now calculate the prime factors of 71901 and 71913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71901 and 71913.

How to find the GCF of 71901 and 71913?

We will first find the prime factorization of 71901 and 71913. After we will calculate the factors of 71901 and 71913 and find the biggest common factor number .

Step-1: Prime Factorization of 71901

Prime factors of 71901 are 3, 2663. Prime factorization of 71901 in exponential form is:

71901 = 3³ × 2663¹

Step-2: Prime Factorization of 71913

Prime factors of 71913 are 3, 23971. Prime factorization of 71913 in exponential form is:

71913 = 3¹ × 23971¹

Step-3: Factors of 71901

List of positive integer factors of 71901 that divides 71901 without a remainder.

1, 3, 9, 27, 2663, 7989, 23967

Step-4: Factors of 71913

List of positive integer factors of 71913 that divides 71901 without a remainder.

1, 3, 23971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71901 and 71913. The biggest common factor number is the GCF number.
So the greatest common factor 71901 and 71913 is 3.

Also check out the Least Common Multiple of 71901 and 71913