What is the Greatest Common Factor of 71790 and 71808?

Greatest common factor (GCF) of 71790 and 71808 is 6.

GCF(71790,71808) = 6

We will now calculate the prime factors of 71790 and 71808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71790 and 71808.

How to find the GCF of 71790 and 71808?

We will first find the prime factorization of 71790 and 71808. After we will calculate the factors of 71790 and 71808 and find the biggest common factor number .

Step-1: Prime Factorization of 71790

Prime factors of 71790 are 2, 3, 5, 2393. Prime factorization of 71790 in exponential form is:

71790 = 2¹ × 3¹ × 5¹ × 2393¹

Step-2: Prime Factorization of 71808

Prime factors of 71808 are 2, 3, 11, 17. Prime factorization of 71808 in exponential form is:

71808 = 2⁷ × 3¹ × 11¹ × 17¹

Step-3: Factors of 71790

List of positive integer factors of 71790 that divides 71790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2393, 4786, 7179, 11965, 14358, 23930, 35895

Step-4: Factors of 71808

List of positive integer factors of 71808 that divides 71790 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 32, 33, 34, 44, 48, 51, 64, 66, 68, 88, 96, 102, 128, 132, 136, 176, 187, 192, 204, 264, 272, 352, 374, 384, 408, 528, 544, 561, 704, 748, 816, 1056, 1088, 1122, 1408, 1496, 1632, 2112, 2176, 2244, 2992, 3264, 4224, 4488, 5984, 6528, 8976, 11968, 17952, 23936, 35904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71790 and 71808. The biggest common factor number is the GCF number.
So the greatest common factor 71790 and 71808 is 6.

Also check out the Least Common Multiple of 71790 and 71808