What is the Greatest Common Factor of 66654 and 66672?

Greatest common factor (GCF) of 66654 and 66672 is 18.

GCF(66654,66672) = 18

We will now calculate the prime factors of 66654 and 66672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66654 and 66672.

How to find the GCF of 66654 and 66672?

We will first find the prime factorization of 66654 and 66672. After we will calculate the factors of 66654 and 66672 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66672

Prime factors of 66672 are 2, 3, 463. Prime factorization of 66672 in exponential form is:

66672 = 2⁴ × 3² × 463¹

Step-3: Factors of 66654

List of positive integer factors of 66654 that divides 66654 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

Step-4: Factors of 66672

List of positive integer factors of 66672 that divides 66654 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 463, 926, 1389, 1852, 2778, 3704, 4167, 5556, 7408, 8334, 11112, 16668, 22224, 33336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66654 and 66672. The biggest common factor number is the GCF number.
So the greatest common factor 66654 and 66672 is 18.

Also check out the Least Common Multiple of 66654 and 66672