What is the Greatest Common Factor of 77792 and 77798?

Greatest common factor (GCF) of 77792 and 77798 is 2.

GCF(77792,77798) = 2

We will now calculate the prime factors of 77792 and 77798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77792 and 77798.

How to find the GCF of 77792 and 77798?

We will first find the prime factorization of 77792 and 77798. After we will calculate the factors of 77792 and 77798 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 77798

Prime factors of 77798 are 2, 7, 5557. Prime factorization of 77798 in exponential form is:

77798 = 2¹ × 7¹ × 5557¹

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 77798

List of positive integer factors of 77798 that divides 77792 without a remainder.

1, 2, 7, 14, 5557, 11114, 38899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77792 and 77798. The biggest common factor number is the GCF number.
So the greatest common factor 77792 and 77798 is 2.

Also check out the Least Common Multiple of 77792 and 77798