What is the Greatest Common Factor of 66312 and 66317?

Greatest common factor (GCF) of 66312 and 66317 is 1.

GCF(66312,66317) = 1

We will now calculate the prime factors of 66312 and 66317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66312 and 66317.

How to find the GCF of 66312 and 66317?

We will first find the prime factorization of 66312 and 66317. After we will calculate the factors of 66312 and 66317 and find the biggest common factor number .

Step-1: Prime Factorization of 66312

Prime factors of 66312 are 2, 3, 307. Prime factorization of 66312 in exponential form is:

66312 = 2³ × 3³ × 307¹

Step-2: Prime Factorization of 66317

Prime factors of 66317 are 17, 47, 83. Prime factorization of 66317 in exponential form is:

66317 = 17¹ × 47¹ × 83¹

Step-3: Factors of 66312

List of positive integer factors of 66312 that divides 66312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 5526, 7368, 8289, 11052, 16578, 22104, 33156

Step-4: Factors of 66317

List of positive integer factors of 66317 that divides 66312 without a remainder.

1, 17, 47, 83, 799, 1411, 3901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66312 and 66317. The biggest common factor number is the GCF number.
So the greatest common factor 66312 and 66317 is 1.

Also check out the Least Common Multiple of 66312 and 66317