What is the Greatest Common Factor of 66345 and 66365?

Greatest common factor (GCF) of 66345 and 66365 is 5.

GCF(66345,66365) = 5

We will now calculate the prime factors of 66345 and 66365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66345 and 66365.

How to find the GCF of 66345 and 66365?

We will first find the prime factorization of 66345 and 66365. After we will calculate the factors of 66345 and 66365 and find the biggest common factor number .

Step-1: Prime Factorization of 66345

Prime factors of 66345 are 3, 5, 4423. Prime factorization of 66345 in exponential form is:

66345 = 3¹ × 5¹ × 4423¹

Step-2: Prime Factorization of 66365

Prime factors of 66365 are 5, 13, 1021. Prime factorization of 66365 in exponential form is:

66365 = 5¹ × 13¹ × 1021¹

Step-3: Factors of 66345

List of positive integer factors of 66345 that divides 66345 without a remainder.

1, 3, 5, 15, 4423, 13269, 22115

Step-4: Factors of 66365

List of positive integer factors of 66365 that divides 66345 without a remainder.

1, 5, 13, 65, 1021, 5105, 13273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66345 and 66365. The biggest common factor number is the GCF number.
So the greatest common factor 66345 and 66365 is 5.

Also check out the Least Common Multiple of 66345 and 66365