What is the Greatest Common Factor of 66585 and 66603?

Greatest common factor (GCF) of 66585 and 66603 is 3.

GCF(66585,66603) = 3

We will now calculate the prime factors of 66585 and 66603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66585 and 66603.

How to find the GCF of 66585 and 66603?

We will first find the prime factorization of 66585 and 66603. After we will calculate the factors of 66585 and 66603 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66603

Prime factors of 66603 are 3, 149. Prime factorization of 66603 in exponential form is:

66603 = 3¹ × 149²

Step-3: Factors of 66585

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

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

Step-4: Factors of 66603

List of positive integer factors of 66603 that divides 66585 without a remainder.

1, 3, 149, 447, 22201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66585 and 66603. The biggest common factor number is the GCF number.
So the greatest common factor 66585 and 66603 is 3.

Also check out the Least Common Multiple of 66585 and 66603