What is the Greatest Common Factor of 77798 and 77805?

Greatest common factor (GCF) of 77798 and 77805 is 7.

GCF(77798,77805) = 7

We will now calculate the prime factors of 77798 and 77805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77798 and 77805.

How to find the GCF of 77798 and 77805?

We will first find the prime factorization of 77798 and 77805. After we will calculate the factors of 77798 and 77805 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77805

Prime factors of 77805 are 3, 5, 7, 13, 19. Prime factorization of 77805 in exponential form is:

77805 = 3² × 5¹ × 7¹ × 13¹ × 19¹

Step-3: Factors of 77798

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

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

Step-4: Factors of 77805

List of positive integer factors of 77805 that divides 77798 without a remainder.

1, 3, 5, 7, 9, 13, 15, 19, 21, 35, 39, 45, 57, 63, 65, 91, 95, 105, 117, 133, 171, 195, 247, 273, 285, 315, 399, 455, 585, 665, 741, 819, 855, 1197, 1235, 1365, 1729, 1995, 2223, 3705, 4095, 5187, 5985, 8645, 11115, 15561, 25935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77798 and 77805. The biggest common factor number is the GCF number.
So the greatest common factor 77798 and 77805 is 7.

Also check out the Least Common Multiple of 77798 and 77805