What is the Greatest Common Factor of 71775 and 71793?

Greatest common factor (GCF) of 71775 and 71793 is 9.

GCF(71775,71793) = 9

We will now calculate the prime factors of 71775 and 71793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71775 and 71793.

How to find the GCF of 71775 and 71793?

We will first find the prime factorization of 71775 and 71793. After we will calculate the factors of 71775 and 71793 and find the biggest common factor number .

Step-1: Prime Factorization of 71775

Prime factors of 71775 are 3, 5, 11, 29. Prime factorization of 71775 in exponential form is:

71775 = 3² × 5² × 11¹ × 29¹

Step-2: Prime Factorization of 71793

Prime factors of 71793 are 3, 2659. Prime factorization of 71793 in exponential form is:

71793 = 3³ × 2659¹

Step-3: Factors of 71775

List of positive integer factors of 71775 that divides 71775 without a remainder.

1, 3, 5, 9, 11, 15, 25, 29, 33, 45, 55, 75, 87, 99, 145, 165, 225, 261, 275, 319, 435, 495, 725, 825, 957, 1305, 1595, 2175, 2475, 2871, 4785, 6525, 7975, 14355, 23925

Step-4: Factors of 71793

List of positive integer factors of 71793 that divides 71775 without a remainder.

1, 3, 9, 27, 2659, 7977, 23931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71775 and 71793. The biggest common factor number is the GCF number.
So the greatest common factor 71775 and 71793 is 9.

Also check out the Least Common Multiple of 71775 and 71793