What is the Greatest Common Factor of 66648 and 66657?

Greatest common factor (GCF) of 66648 and 66657 is 3.

GCF(66648,66657) = 3

We will now calculate the prime factors of 66648 and 66657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66648 and 66657.

How to find the GCF of 66648 and 66657?

We will first find the prime factorization of 66648 and 66657. After we will calculate the factors of 66648 and 66657 and find the biggest common factor number .

Step-1: Prime Factorization of 66648

Prime factors of 66648 are 2, 3, 2777. Prime factorization of 66648 in exponential form is:

66648 = 2³ × 3¹ × 2777¹

Step-2: Prime Factorization of 66657

Prime factors of 66657 are 3, 17, 1307. Prime factorization of 66657 in exponential form is:

66657 = 3¹ × 17¹ × 1307¹

Step-3: Factors of 66648

List of positive integer factors of 66648 that divides 66648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2777, 5554, 8331, 11108, 16662, 22216, 33324

Step-4: Factors of 66657

List of positive integer factors of 66657 that divides 66648 without a remainder.

1, 3, 17, 51, 1307, 3921, 22219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66648 and 66657. The biggest common factor number is the GCF number.
So the greatest common factor 66648 and 66657 is 3.

Also check out the Least Common Multiple of 66648 and 66657