What is the Greatest Common Factor of 71586 and 71601?

Greatest common factor (GCF) of 71586 and 71601 is 3.

GCF(71586,71601) = 3

We will now calculate the prime factors of 71586 and 71601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71586 and 71601.

How to find the GCF of 71586 and 71601?

We will first find the prime factorization of 71586 and 71601. After we will calculate the factors of 71586 and 71601 and find the biggest common factor number .

Step-1: Prime Factorization of 71586

Prime factors of 71586 are 2, 3, 41, 97. Prime factorization of 71586 in exponential form is:

71586 = 2¹ × 3² × 41¹ × 97¹

Step-2: Prime Factorization of 71601

Prime factors of 71601 are 3, 29, 823. Prime factorization of 71601 in exponential form is:

71601 = 3¹ × 29¹ × 823¹

Step-3: Factors of 71586

List of positive integer factors of 71586 that divides 71586 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 97, 123, 194, 246, 291, 369, 582, 738, 873, 1746, 3977, 7954, 11931, 23862, 35793

Step-4: Factors of 71601

List of positive integer factors of 71601 that divides 71586 without a remainder.

1, 3, 29, 87, 823, 2469, 23867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71586 and 71601. The biggest common factor number is the GCF number.
So the greatest common factor 71586 and 71601 is 3.

Also check out the Least Common Multiple of 71586 and 71601