What is the Greatest Common Factor of 66657 and 66665?

Greatest common factor (GCF) of 66657 and 66665 is 1.

GCF(66657,66665) = 1

We will now calculate the prime factors of 66657 and 66665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66657 and 66665.

How to find the GCF of 66657 and 66665?

We will first find the prime factorization of 66657 and 66665. After we will calculate the factors of 66657 and 66665 and find the biggest common factor number .

Step-1: Prime Factorization of 66657

Prime factors of 66657 are 3, 17, 1307. Prime factorization of 66657 in exponential form is:

66657 = 3¹ × 17¹ × 1307¹

Step-2: Prime Factorization of 66665

Prime factors of 66665 are 5, 67, 199. Prime factorization of 66665 in exponential form is:

66665 = 5¹ × 67¹ × 199¹

Step-3: Factors of 66657

List of positive integer factors of 66657 that divides 66657 without a remainder.

1, 3, 17, 51, 1307, 3921, 22219

Step-4: Factors of 66665

List of positive integer factors of 66665 that divides 66657 without a remainder.

1, 5, 67, 199, 335, 995, 13333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66657 and 66665. The biggest common factor number is the GCF number.
So the greatest common factor 66657 and 66665 is 1.

Also check out the Least Common Multiple of 66657 and 66665