What is the Greatest Common Factor of 77792 and 77804?

Greatest common factor (GCF) of 77792 and 77804 is 4.

GCF(77792,77804) = 4

We will now calculate the prime factors of 77792 and 77804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77792 and 77804.

How to find the GCF of 77792 and 77804?

We will first find the prime factorization of 77792 and 77804. After we will calculate the factors of 77792 and 77804 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 77804

Prime factors of 77804 are 2, 53, 367. Prime factorization of 77804 in exponential form is:

77804 = 2² × 53¹ × 367¹

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 77804

List of positive integer factors of 77804 that divides 77792 without a remainder.

1, 2, 4, 53, 106, 212, 367, 734, 1468, 19451, 38902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77792 and 77804. The biggest common factor number is the GCF number.
So the greatest common factor 77792 and 77804 is 4.

Also check out the Least Common Multiple of 77792 and 77804