What is the Greatest Common Factor of 66775 and 66790?

Greatest common factor (GCF) of 66775 and 66790 is 5.

GCF(66775,66790) = 5

We will now calculate the prime factors of 66775 and 66790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66775 and 66790.

How to find the GCF of 66775 and 66790?

We will first find the prime factorization of 66775 and 66790. After we will calculate the factors of 66775 and 66790 and find the biggest common factor number .

Step-1: Prime Factorization of 66775

Prime factors of 66775 are 5, 2671. Prime factorization of 66775 in exponential form is:

66775 = 5² × 2671¹

Step-2: Prime Factorization of 66790

Prime factors of 66790 are 2, 5, 6679. Prime factorization of 66790 in exponential form is:

66790 = 2¹ × 5¹ × 6679¹

Step-3: Factors of 66775

List of positive integer factors of 66775 that divides 66775 without a remainder.

1, 5, 25, 2671, 13355

Step-4: Factors of 66790

List of positive integer factors of 66790 that divides 66775 without a remainder.

1, 2, 5, 10, 6679, 13358, 33395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66775 and 66790. The biggest common factor number is the GCF number.
So the greatest common factor 66775 and 66790 is 5.

Also check out the Least Common Multiple of 66775 and 66790