What is the Greatest Common Factor of 71808 and 71815?

Greatest common factor (GCF) of 71808 and 71815 is 1.

GCF(71808,71815) = 1

We will now calculate the prime factors of 71808 and 71815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71808 and 71815.

How to find the GCF of 71808 and 71815?

We will first find the prime factorization of 71808 and 71815. After we will calculate the factors of 71808 and 71815 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 71815

Prime factors of 71815 are 5, 53, 271. Prime factorization of 71815 in exponential form is:

71815 = 5¹ × 53¹ × 271¹

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 71815

List of positive integer factors of 71815 that divides 71808 without a remainder.

1, 5, 53, 265, 271, 1355, 14363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71808 and 71815. The biggest common factor number is the GCF number.
So the greatest common factor 71808 and 71815 is 1.

Also check out the Least Common Multiple of 71808 and 71815