What is the Greatest Common Factor of 66648 and 66654?

Greatest common factor (GCF) of 66648 and 66654 is 6.

GCF(66648,66654) = 6

We will now calculate the prime factors of 66648 and 66654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66648 and 66654.

How to find the GCF of 66648 and 66654?

We will first find the prime factorization of 66648 and 66654. After we will calculate the factors of 66648 and 66654 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 66654

Prime factors of 66654 are 2, 3, 7, 23. Prime factorization of 66654 in exponential form is:

66654 = 2¹ × 3² × 7¹ × 23²

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 66654

List of positive integer factors of 66654 that divides 66648 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 529, 966, 1058, 1449, 1587, 2898, 3174, 3703, 4761, 7406, 9522, 11109, 22218, 33327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66648 and 66654. The biggest common factor number is the GCF number.
So the greatest common factor 66648 and 66654 is 6.

Also check out the Least Common Multiple of 66648 and 66654