What is the Greatest Common Factor of 66813 and 66827?

Greatest common factor (GCF) of 66813 and 66827 is 1.

GCF(66813,66827) = 1

We will now calculate the prime factors of 66813 and 66827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66813 and 66827.

How to find the GCF of 66813 and 66827?

We will first find the prime factorization of 66813 and 66827. After we will calculate the factors of 66813 and 66827 and find the biggest common factor number .

Step-1: Prime Factorization of 66813

Prime factors of 66813 are 3, 22271. Prime factorization of 66813 in exponential form is:

66813 = 3¹ × 22271¹

Step-2: Prime Factorization of 66827

Prime factors of 66827 are 17, 3931. Prime factorization of 66827 in exponential form is:

66827 = 17¹ × 3931¹

Step-3: Factors of 66813

List of positive integer factors of 66813 that divides 66813 without a remainder.

1, 3, 22271

Step-4: Factors of 66827

List of positive integer factors of 66827 that divides 66813 without a remainder.

1, 17, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66813 and 66827. The biggest common factor number is the GCF number.
So the greatest common factor 66813 and 66827 is 1.

Also check out the Least Common Multiple of 66813 and 66827