What is the Greatest Common Factor of 71709 and 71720?

Greatest common factor (GCF) of 71709 and 71720 is 11.

GCF(71709,71720) = 11

We will now calculate the prime factors of 71709 and 71720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71709 and 71720.

How to find the GCF of 71709 and 71720?

We will first find the prime factorization of 71709 and 71720. After we will calculate the factors of 71709 and 71720 and find the biggest common factor number .

Step-1: Prime Factorization of 71709

Prime factors of 71709 are 3, 11, 41, 53. Prime factorization of 71709 in exponential form is:

71709 = 3¹ × 11¹ × 41¹ × 53¹

Step-2: Prime Factorization of 71720

Prime factors of 71720 are 2, 5, 11, 163. Prime factorization of 71720 in exponential form is:

71720 = 2³ × 5¹ × 11¹ × 163¹

Step-3: Factors of 71709

List of positive integer factors of 71709 that divides 71709 without a remainder.

1, 3, 11, 33, 41, 53, 123, 159, 451, 583, 1353, 1749, 2173, 6519, 23903

Step-4: Factors of 71720

List of positive integer factors of 71720 that divides 71709 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 163, 220, 326, 440, 652, 815, 1304, 1630, 1793, 3260, 3586, 6520, 7172, 8965, 14344, 17930, 35860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71709 and 71720. The biggest common factor number is the GCF number.
So the greatest common factor 71709 and 71720 is 11.

Also check out the Least Common Multiple of 71709 and 71720