What is the Greatest Common Factor of 30765 and 30777?

Greatest common factor (GCF) of 30765 and 30777 is 3.

GCF(30765,30777) = 3

We will now calculate the prime factors of 30765 and 30777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30765 and 30777.

How to find the GCF of 30765 and 30777?

We will first find the prime factorization of 30765 and 30777. After we will calculate the factors of 30765 and 30777 and find the biggest common factor number .

Step-1: Prime Factorization of 30765

Prime factors of 30765 are 3, 5, 7, 293. Prime factorization of 30765 in exponential form is:

30765 = 3¹ × 5¹ × 7¹ × 293¹

Step-2: Prime Factorization of 30777

Prime factors of 30777 are 3, 10259. Prime factorization of 30777 in exponential form is:

30777 = 3¹ × 10259¹

Step-3: Factors of 30765

List of positive integer factors of 30765 that divides 30765 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 293, 879, 1465, 2051, 4395, 6153, 10255

Step-4: Factors of 30777

List of positive integer factors of 30777 that divides 30765 without a remainder.

1, 3, 10259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30765 and 30777. The biggest common factor number is the GCF number.
So the greatest common factor 30765 and 30777 is 3.

Also check out the Least Common Multiple of 30765 and 30777