What is the Greatest Common Factor of 30765 and 30783?

Greatest common factor (GCF) of 30765 and 30783 is 3.

GCF(30765,30783) = 3

We will now calculate the prime factors of 30765 and 30783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30765 and 30783.

How to find the GCF of 30765 and 30783?

We will first find the prime factorization of 30765 and 30783. After we will calculate the factors of 30765 and 30783 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 30783

Prime factors of 30783 are 3, 31, 331. Prime factorization of 30783 in exponential form is:

30783 = 3¹ × 31¹ × 331¹

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 30783

List of positive integer factors of 30783 that divides 30765 without a remainder.

1, 3, 31, 93, 331, 993, 10261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30765 and 30783. The biggest common factor number is the GCF number.
So the greatest common factor 30765 and 30783 is 3.

Also check out the Least Common Multiple of 30765 and 30783