What is the Greatest Common Factor of 93765 and 93777?

Greatest common factor (GCF) of 93765 and 93777 is 3.

GCF(93765,93777) = 3

We will now calculate the prime factors of 93765 and 93777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93765 and 93777.

How to find the GCF of 93765 and 93777?

We will first find the prime factorization of 93765 and 93777. After we will calculate the factors of 93765 and 93777 and find the biggest common factor number .

Step-1: Prime Factorization of 93765

Prime factors of 93765 are 3, 5, 7, 19, 47. Prime factorization of 93765 in exponential form is:

93765 = 3¹ × 5¹ × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 93777

Prime factors of 93777 are 3, 31259. Prime factorization of 93777 in exponential form is:

93777 = 3¹ × 31259¹

Step-3: Factors of 93765

List of positive integer factors of 93765 that divides 93765 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 47, 57, 95, 105, 133, 141, 235, 285, 329, 399, 665, 705, 893, 987, 1645, 1995, 2679, 4465, 4935, 6251, 13395, 18753, 31255

Step-4: Factors of 93777

List of positive integer factors of 93777 that divides 93765 without a remainder.

1, 3, 31259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93765 and 93777. The biggest common factor number is the GCF number.
So the greatest common factor 93765 and 93777 is 3.

Also check out the Least Common Multiple of 93765 and 93777