What is the Greatest Common Factor of 66385 and 66402?

Greatest common factor (GCF) of 66385 and 66402 is 17.

GCF(66385,66402) = 17

We will now calculate the prime factors of 66385 and 66402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66385 and 66402.

How to find the GCF of 66385 and 66402?

We will first find the prime factorization of 66385 and 66402. After we will calculate the factors of 66385 and 66402 and find the biggest common factor number .

Step-1: Prime Factorization of 66385

Prime factors of 66385 are 5, 11, 17, 71. Prime factorization of 66385 in exponential form is:

66385 = 5¹ × 11¹ × 17¹ × 71¹

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 66385

List of positive integer factors of 66385 that divides 66385 without a remainder.

1, 5, 11, 17, 55, 71, 85, 187, 355, 781, 935, 1207, 3905, 6035, 13277

Step-4: Factors of 66402

List of positive integer factors of 66402 that divides 66385 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 66385 and 66402. The biggest common factor number is the GCF number.
So the greatest common factor 66385 and 66402 is 17.

Also check out the Least Common Multiple of 66385 and 66402