What is the Greatest Common Factor of 66365 and 66370?

Greatest common factor (GCF) of 66365 and 66370 is 5.

GCF(66365,66370) = 5

We will now calculate the prime factors of 66365 and 66370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66365 and 66370.

How to find the GCF of 66365 and 66370?

We will first find the prime factorization of 66365 and 66370. After we will calculate the factors of 66365 and 66370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66370

Prime factors of 66370 are 2, 5, 6637. Prime factorization of 66370 in exponential form is:

66370 = 2¹ × 5¹ × 6637¹

Step-3: Factors of 66365

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

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

Step-4: Factors of 66370

List of positive integer factors of 66370 that divides 66365 without a remainder.

1, 2, 5, 10, 6637, 13274, 33185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66365 and 66370. The biggest common factor number is the GCF number.
So the greatest common factor 66365 and 66370 is 5.

Also check out the Least Common Multiple of 66365 and 66370