What is the Greatest Common Factor of 66888 and 66906?

Greatest common factor (GCF) of 66888 and 66906 is 18.

GCF(66888,66906) = 18

We will now calculate the prime factors of 66888 and 66906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66888 and 66906.

How to find the GCF of 66888 and 66906?

We will first find the prime factorization of 66888 and 66906. After we will calculate the factors of 66888 and 66906 and find the biggest common factor number .

Step-1: Prime Factorization of 66888

Prime factors of 66888 are 2, 3, 929. Prime factorization of 66888 in exponential form is:

66888 = 2³ × 3² × 929¹

Step-2: Prime Factorization of 66906

Prime factors of 66906 are 2, 3, 7, 59. Prime factorization of 66906 in exponential form is:

66906 = 2¹ × 3⁴ × 7¹ × 59¹

Step-3: Factors of 66888

List of positive integer factors of 66888 that divides 66888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 929, 1858, 2787, 3716, 5574, 7432, 8361, 11148, 16722, 22296, 33444

Step-4: Factors of 66906

List of positive integer factors of 66906 that divides 66888 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 59, 63, 81, 118, 126, 162, 177, 189, 354, 378, 413, 531, 567, 826, 1062, 1134, 1239, 1593, 2478, 3186, 3717, 4779, 7434, 9558, 11151, 22302, 33453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66888 and 66906. The biggest common factor number is the GCF number.
So the greatest common factor 66888 and 66906 is 18.

Also check out the Least Common Multiple of 66888 and 66906