What is the Greatest Common Factor of 66465 and 66475?

Greatest common factor (GCF) of 66465 and 66475 is 5.

GCF(66465,66475) = 5

We will now calculate the prime factors of 66465 and 66475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66465 and 66475.

How to find the GCF of 66465 and 66475?

We will first find the prime factorization of 66465 and 66475. After we will calculate the factors of 66465 and 66475 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 66475

Prime factors of 66475 are 5, 2659. Prime factorization of 66475 in exponential form is:

66475 = 5² × 2659¹

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 66475

List of positive integer factors of 66475 that divides 66465 without a remainder.

1, 5, 25, 2659, 13295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66465 and 66475. The biggest common factor number is the GCF number.
So the greatest common factor 66465 and 66475 is 5.

Also check out the Least Common Multiple of 66465 and 66475