What is the Greatest Common Factor of 77805 and 77810?

Greatest common factor (GCF) of 77805 and 77810 is 5.

GCF(77805,77810) = 5

We will now calculate the prime factors of 77805 and 77810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77805 and 77810.

How to find the GCF of 77805 and 77810?

We will first find the prime factorization of 77805 and 77810. After we will calculate the factors of 77805 and 77810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77810

Prime factors of 77810 are 2, 5, 31, 251. Prime factorization of 77810 in exponential form is:

77810 = 2¹ × 5¹ × 31¹ × 251¹

Step-3: Factors of 77805

List of positive integer factors of 77805 that divides 77805 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

Step-4: Factors of 77810

List of positive integer factors of 77810 that divides 77805 without a remainder.

1, 2, 5, 10, 31, 62, 155, 251, 310, 502, 1255, 2510, 7781, 15562, 38905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77805 and 77810. The biggest common factor number is the GCF number.
So the greatest common factor 77805 and 77810 is 5.

Also check out the Least Common Multiple of 77805 and 77810