What is the Greatest Common Factor of 77745 and 77751?

Greatest common factor (GCF) of 77745 and 77751 is 3.

GCF(77745,77751) = 3

We will now calculate the prime factors of 77745 and 77751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77745 and 77751.

How to find the GCF of 77745 and 77751?

We will first find the prime factorization of 77745 and 77751. After we will calculate the factors of 77745 and 77751 and find the biggest common factor number .

Step-1: Prime Factorization of 77745

Prime factors of 77745 are 3, 5, 71, 73. Prime factorization of 77745 in exponential form is:

77745 = 3¹ × 5¹ × 71¹ × 73¹

Step-2: Prime Factorization of 77751

Prime factors of 77751 are 3, 53, 163. Prime factorization of 77751 in exponential form is:

77751 = 3² × 53¹ × 163¹

Step-3: Factors of 77745

List of positive integer factors of 77745 that divides 77745 without a remainder.

1, 3, 5, 15, 71, 73, 213, 219, 355, 365, 1065, 1095, 5183, 15549, 25915

Step-4: Factors of 77751

List of positive integer factors of 77751 that divides 77745 without a remainder.

1, 3, 9, 53, 159, 163, 477, 489, 1467, 8639, 25917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77745 and 77751. The biggest common factor number is the GCF number.
So the greatest common factor 77745 and 77751 is 3.

Also check out the Least Common Multiple of 77745 and 77751