What is the Greatest Common Factor of 66575 and 66585?

Greatest common factor (GCF) of 66575 and 66585 is 5.

GCF(66575,66585) = 5

We will now calculate the prime factors of 66575 and 66585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66575 and 66585.

How to find the GCF of 66575 and 66585?

We will first find the prime factorization of 66575 and 66585. After we will calculate the factors of 66575 and 66585 and find the biggest common factor number .

Step-1: Prime Factorization of 66575

Prime factors of 66575 are 5, 2663. Prime factorization of 66575 in exponential form is:

66575 = 5² × 2663¹

Step-2: Prime Factorization of 66585

Prime factors of 66585 are 3, 5, 23, 193. Prime factorization of 66585 in exponential form is:

66585 = 3¹ × 5¹ × 23¹ × 193¹

Step-3: Factors of 66575

List of positive integer factors of 66575 that divides 66575 without a remainder.

1, 5, 25, 2663, 13315

Step-4: Factors of 66585

List of positive integer factors of 66585 that divides 66575 without a remainder.

1, 3, 5, 15, 23, 69, 115, 193, 345, 579, 965, 2895, 4439, 13317, 22195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66575 and 66585. The biggest common factor number is the GCF number.
So the greatest common factor 66575 and 66585 is 5.

Also check out the Least Common Multiple of 66575 and 66585