What is the Greatest Common Factor of 66213 and 66225?

Greatest common factor (GCF) of 66213 and 66225 is 3.

GCF(66213,66225) = 3

We will now calculate the prime factors of 66213 and 66225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66213 and 66225.

How to find the GCF of 66213 and 66225?

We will first find the prime factorization of 66213 and 66225. After we will calculate the factors of 66213 and 66225 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 66225

Prime factors of 66225 are 3, 5, 883. Prime factorization of 66225 in exponential form is:

66225 = 3¹ × 5² × 883¹

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 66225

List of positive integer factors of 66225 that divides 66213 without a remainder.

1, 3, 5, 15, 25, 75, 883, 2649, 4415, 13245, 22075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66213 and 66225. The biggest common factor number is the GCF number.
So the greatest common factor 66213 and 66225 is 3.

Also check out the Least Common Multiple of 66213 and 66225