What is the Greatest Common Factor of 66465 and 66470?

Greatest common factor (GCF) of 66465 and 66470 is 5.

GCF(66465,66470) = 5

We will now calculate the prime factors of 66465 and 66470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66465 and 66470.

How to find the GCF of 66465 and 66470?

We will first find the prime factorization of 66465 and 66470. After we will calculate the factors of 66465 and 66470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66470

Prime factors of 66470 are 2, 5, 17, 23. Prime factorization of 66470 in exponential form is:

66470 = 2¹ × 5¹ × 17² × 23¹

Step-3: Factors of 66465

List of positive integer factors of 66465 that divides 66465 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

Step-4: Factors of 66470

List of positive integer factors of 66470 that divides 66465 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 289, 391, 578, 782, 1445, 1955, 2890, 3910, 6647, 13294, 33235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66465 and 66470. The biggest common factor number is the GCF number.
So the greatest common factor 66465 and 66470 is 5.

Also check out the Least Common Multiple of 66465 and 66470