What is the Greatest Common Factor of 71808 and 71823?

Greatest common factor (GCF) of 71808 and 71823 is 3.

GCF(71808,71823) = 3

We will now calculate the prime factors of 71808 and 71823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71808 and 71823.

How to find the GCF of 71808 and 71823?

We will first find the prime factorization of 71808 and 71823. After we will calculate the factors of 71808 and 71823 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71823

Prime factors of 71823 are 3, 89, 269. Prime factorization of 71823 in exponential form is:

71823 = 3¹ × 89¹ × 269¹

Step-3: Factors of 71808

List of positive integer factors of 71808 that divides 71808 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

Step-4: Factors of 71823

List of positive integer factors of 71823 that divides 71808 without a remainder.

1, 3, 89, 267, 269, 807, 23941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71808 and 71823. The biggest common factor number is the GCF number.
So the greatest common factor 71808 and 71823 is 3.

Also check out the Least Common Multiple of 71808 and 71823