What is the Greatest Common Factor of 66288 and 66294?

Greatest common factor (GCF) of 66288 and 66294 is 6.

GCF(66288,66294) = 6

We will now calculate the prime factors of 66288 and 66294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66288 and 66294.

How to find the GCF of 66288 and 66294?

We will first find the prime factorization of 66288 and 66294. After we will calculate the factors of 66288 and 66294 and find the biggest common factor number .

Step-1: Prime Factorization of 66288

Prime factors of 66288 are 2, 3, 1381. Prime factorization of 66288 in exponential form is:

66288 = 2⁴ × 3¹ × 1381¹

Step-2: Prime Factorization of 66294

Prime factors of 66294 are 2, 3, 29, 127. Prime factorization of 66294 in exponential form is:

66294 = 2¹ × 3² × 29¹ × 127¹

Step-3: Factors of 66288

List of positive integer factors of 66288 that divides 66288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1381, 2762, 4143, 5524, 8286, 11048, 16572, 22096, 33144

Step-4: Factors of 66294

List of positive integer factors of 66294 that divides 66288 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 127, 174, 254, 261, 381, 522, 762, 1143, 2286, 3683, 7366, 11049, 22098, 33147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66288 and 66294. The biggest common factor number is the GCF number.
So the greatest common factor 66288 and 66294 is 6.

Also check out the Least Common Multiple of 66288 and 66294