What is the Greatest Common Factor of 71808 and 71821?

Greatest common factor (GCF) of 71808 and 71821 is 1.

GCF(71808,71821) = 1

We will now calculate the prime factors of 71808 and 71821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71808 and 71821.

How to find the GCF of 71808 and 71821?

We will first find the prime factorization of 71808 and 71821. After we will calculate the factors of 71808 and 71821 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 71821

Prime factors of 71821 are 71821. Prime factorization of 71821 in exponential form is:

71821 = 71821¹

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 71821

List of positive integer factors of 71821 that divides 71808 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71808 and 71821. The biggest common factor number is the GCF number.
So the greatest common factor 71808 and 71821 is 1.

Also check out the Least Common Multiple of 71808 and 71821