What is the Greatest Common Factor of 66460 and 66465?

Greatest common factor (GCF) of 66460 and 66465 is 5.

GCF(66460,66465) = 5

We will now calculate the prime factors of 66460 and 66465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66460 and 66465.

How to find the GCF of 66460 and 66465?

We will first find the prime factorization of 66460 and 66465. After we will calculate the factors of 66460 and 66465 and find the biggest common factor number .

Step-1: Prime Factorization of 66460

Prime factors of 66460 are 2, 5, 3323. Prime factorization of 66460 in exponential form is:

66460 = 2² × 5¹ × 3323¹

Step-2: Prime Factorization of 66465

Prime factors of 66465 are 3, 5, 7, 211. Prime factorization of 66465 in exponential form is:

66465 = 3² × 5¹ × 7¹ × 211¹

Step-3: Factors of 66460

List of positive integer factors of 66460 that divides 66460 without a remainder.

1, 2, 4, 5, 10, 20, 3323, 6646, 13292, 16615, 33230

Step-4: Factors of 66465

List of positive integer factors of 66465 that divides 66460 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 211, 315, 633, 1055, 1477, 1899, 3165, 4431, 7385, 9495, 13293, 22155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66460 and 66465. The biggest common factor number is the GCF number.
So the greatest common factor 66460 and 66465 is 5.

Also check out the Least Common Multiple of 66460 and 66465