What is the Greatest Common Factor of 66355 and 66365?

Greatest common factor (GCF) of 66355 and 66365 is 5.

GCF(66355,66365) = 5

We will now calculate the prime factors of 66355 and 66365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66355 and 66365.

How to find the GCF of 66355 and 66365?

We will first find the prime factorization of 66355 and 66365. After we will calculate the factors of 66355 and 66365 and find the biggest common factor number .

Step-1: Prime Factorization of 66355

Prime factors of 66355 are 5, 23, 577. Prime factorization of 66355 in exponential form is:

66355 = 5¹ × 23¹ × 577¹

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 66355

List of positive integer factors of 66355 that divides 66355 without a remainder.

1, 5, 23, 115, 577, 2885, 13271

Step-4: Factors of 66365

List of positive integer factors of 66365 that divides 66355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66355 and 66365. The biggest common factor number is the GCF number.
So the greatest common factor 66355 and 66365 is 5.

Also check out the Least Common Multiple of 66355 and 66365