What is the Greatest Common Factor of 71808 and 71824?

Greatest common factor (GCF) of 71808 and 71824 is 16.

GCF(71808,71824) = 16

We will now calculate the prime factors of 71808 and 71824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71808 and 71824.

How to find the GCF of 71808 and 71824?

We will first find the prime factorization of 71808 and 71824. After we will calculate the factors of 71808 and 71824 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 71824

Prime factors of 71824 are 2, 67. Prime factorization of 71824 in exponential form is:

71824 = 2⁴ × 67²

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 71824

List of positive integer factors of 71824 that divides 71808 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072, 4489, 8978, 17956, 35912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71808 and 71824. The biggest common factor number is the GCF number.
So the greatest common factor 71808 and 71824 is 16.

Also check out the Least Common Multiple of 71808 and 71824