What is the Greatest Common Factor of 77800 and 77805?

Greatest common factor (GCF) of 77800 and 77805 is 5.

GCF(77800,77805) = 5

We will now calculate the prime factors of 77800 and 77805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77800 and 77805.

How to find the GCF of 77800 and 77805?

We will first find the prime factorization of 77800 and 77805. After we will calculate the factors of 77800 and 77805 and find the biggest common factor number .

Step-1: Prime Factorization of 77800

Prime factors of 77800 are 2, 5, 389. Prime factorization of 77800 in exponential form is:

77800 = 2³ × 5² × 389¹

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 77800

List of positive integer factors of 77800 that divides 77800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 389, 778, 1556, 1945, 3112, 3890, 7780, 9725, 15560, 19450, 38900

Step-4: Factors of 77805

List of positive integer factors of 77805 that divides 77800 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 77800 and 77805. The biggest common factor number is the GCF number.
So the greatest common factor 77800 and 77805 is 5.

Also check out the Least Common Multiple of 77800 and 77805