What is the Greatest Common Factor of 66765 and 66783?

Greatest common factor (GCF) of 66765 and 66783 is 3.

GCF(66765,66783) = 3

We will now calculate the prime factors of 66765 and 66783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66765 and 66783.

How to find the GCF of 66765 and 66783?

We will first find the prime factorization of 66765 and 66783. After we will calculate the factors of 66765 and 66783 and find the biggest common factor number .

Step-1: Prime Factorization of 66765

Prime factors of 66765 are 3, 5, 4451. Prime factorization of 66765 in exponential form is:

66765 = 3¹ × 5¹ × 4451¹

Step-2: Prime Factorization of 66783

Prime factors of 66783 are 3, 113, 197. Prime factorization of 66783 in exponential form is:

66783 = 3¹ × 113¹ × 197¹

Step-3: Factors of 66765

List of positive integer factors of 66765 that divides 66765 without a remainder.

1, 3, 5, 15, 4451, 13353, 22255

Step-4: Factors of 66783

List of positive integer factors of 66783 that divides 66765 without a remainder.

1, 3, 113, 197, 339, 591, 22261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66765 and 66783. The biggest common factor number is the GCF number.
So the greatest common factor 66765 and 66783 is 3.

Also check out the Least Common Multiple of 66765 and 66783