What is the Greatest Common Factor of 66213 and 66221?

Greatest common factor (GCF) of 66213 and 66221 is 1.

GCF(66213,66221) = 1

We will now calculate the prime factors of 66213 and 66221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66213 and 66221.

How to find the GCF of 66213 and 66221?

We will first find the prime factorization of 66213 and 66221. After we will calculate the factors of 66213 and 66221 and find the biggest common factor number .

Step-1: Prime Factorization of 66213

Prime factors of 66213 are 3, 7, 1051. Prime factorization of 66213 in exponential form is:

66213 = 3² × 7¹ × 1051¹

Step-2: Prime Factorization of 66221

Prime factors of 66221 are 66221. Prime factorization of 66221 in exponential form is:

66221 = 66221¹

Step-3: Factors of 66213

List of positive integer factors of 66213 that divides 66213 without a remainder.

1, 3, 7, 9, 21, 63, 1051, 3153, 7357, 9459, 22071

Step-4: Factors of 66221

List of positive integer factors of 66221 that divides 66213 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66213 and 66221. The biggest common factor number is the GCF number.
So the greatest common factor 66213 and 66221 is 1.

Also check out the Least Common Multiple of 66213 and 66221