What is the Greatest Common Factor of 77805 and 77823?

Greatest common factor (GCF) of 77805 and 77823 is 9.

GCF(77805,77823) = 9

We will now calculate the prime factors of 77805 and 77823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77805 and 77823.

How to find the GCF of 77805 and 77823?

We will first find the prime factorization of 77805 and 77823. After we will calculate the factors of 77805 and 77823 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 77823

Prime factors of 77823 are 3, 8647. Prime factorization of 77823 in exponential form is:

77823 = 3² × 8647¹

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 77823

List of positive integer factors of 77823 that divides 77805 without a remainder.

1, 3, 9, 8647, 25941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77805 and 77823. The biggest common factor number is the GCF number.
So the greatest common factor 77805 and 77823 is 9.

Also check out the Least Common Multiple of 77805 and 77823