What is the Greatest Common Factor of 66663 and 66675?

Greatest common factor (GCF) of 66663 and 66675 is 3.

GCF(66663,66675) = 3

We will now calculate the prime factors of 66663 and 66675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66663 and 66675.

How to find the GCF of 66663 and 66675?

We will first find the prime factorization of 66663 and 66675. After we will calculate the factors of 66663 and 66675 and find the biggest common factor number .

Step-1: Prime Factorization of 66663

Prime factors of 66663 are 3, 823. Prime factorization of 66663 in exponential form is:

66663 = 3⁴ × 823¹

Step-2: Prime Factorization of 66675

Prime factors of 66675 are 3, 5, 7, 127. Prime factorization of 66675 in exponential form is:

66675 = 3¹ × 5² × 7¹ × 127¹

Step-3: Factors of 66663

List of positive integer factors of 66663 that divides 66663 without a remainder.

1, 3, 9, 27, 81, 823, 2469, 7407, 22221

Step-4: Factors of 66675

List of positive integer factors of 66675 that divides 66663 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 127, 175, 381, 525, 635, 889, 1905, 2667, 3175, 4445, 9525, 13335, 22225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66663 and 66675. The biggest common factor number is the GCF number.
So the greatest common factor 66663 and 66675 is 3.

Also check out the Least Common Multiple of 66663 and 66675