What is the Greatest Common Factor of 66384 and 66402?

Greatest common factor (GCF) of 66384 and 66402 is 18.

GCF(66384,66402) = 18

We will now calculate the prime factors of 66384 and 66402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66384 and 66402.

How to find the GCF of 66384 and 66402?

We will first find the prime factorization of 66384 and 66402. After we will calculate the factors of 66384 and 66402 and find the biggest common factor number .

Step-1: Prime Factorization of 66384

Prime factors of 66384 are 2, 3, 461. Prime factorization of 66384 in exponential form is:

66384 = 2⁴ × 3² × 461¹

Step-2: Prime Factorization of 66402

Prime factors of 66402 are 2, 3, 7, 17, 31. Prime factorization of 66402 in exponential form is:

66402 = 2¹ × 3² × 7¹ × 17¹ × 31¹

Step-3: Factors of 66384

List of positive integer factors of 66384 that divides 66384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 461, 922, 1383, 1844, 2766, 3688, 4149, 5532, 7376, 8298, 11064, 16596, 22128, 33192

Step-4: Factors of 66402

List of positive integer factors of 66402 that divides 66384 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 31, 34, 42, 51, 62, 63, 93, 102, 119, 126, 153, 186, 217, 238, 279, 306, 357, 434, 527, 558, 651, 714, 1054, 1071, 1302, 1581, 1953, 2142, 3162, 3689, 3906, 4743, 7378, 9486, 11067, 22134, 33201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66384 and 66402. The biggest common factor number is the GCF number.
So the greatest common factor 66384 and 66402 is 18.

Also check out the Least Common Multiple of 66384 and 66402