What is the Greatest Common Factor of 77792 and 77808?

Greatest common factor (GCF) of 77792 and 77808 is 16.

GCF(77792,77808) = 16

We will now calculate the prime factors of 77792 and 77808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77792 and 77808.

How to find the GCF of 77792 and 77808?

We will first find the prime factorization of 77792 and 77808. After we will calculate the factors of 77792 and 77808 and find the biggest common factor number .

Step-1: Prime Factorization of 77792

Prime factors of 77792 are 2, 11, 13, 17. Prime factorization of 77792 in exponential form is:

77792 = 2⁵ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 77808

Prime factors of 77808 are 2, 3, 1621. Prime factorization of 77808 in exponential form is:

77808 = 2⁴ × 3¹ × 1621¹

Step-3: Factors of 77792

List of positive integer factors of 77792 that divides 77792 without a remainder.

1, 2, 4, 8, 11, 13, 16, 17, 22, 26, 32, 34, 44, 52, 68, 88, 104, 136, 143, 176, 187, 208, 221, 272, 286, 352, 374, 416, 442, 544, 572, 748, 884, 1144, 1496, 1768, 2288, 2431, 2992, 3536, 4576, 4862, 5984, 7072, 9724, 19448, 38896

Step-4: Factors of 77808

List of positive integer factors of 77808 that divides 77792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1621, 3242, 4863, 6484, 9726, 12968, 19452, 25936, 38904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77792 and 77808. The biggest common factor number is the GCF number.
So the greatest common factor 77792 and 77808 is 16.

Also check out the Least Common Multiple of 77792 and 77808