What is the Greatest Common Factor of 66317 and 66334?

Greatest common factor (GCF) of 66317 and 66334 is 17.

GCF(66317,66334) = 17

We will now calculate the prime factors of 66317 and 66334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66317 and 66334.

How to find the GCF of 66317 and 66334?

We will first find the prime factorization of 66317 and 66334. After we will calculate the factors of 66317 and 66334 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66334

Prime factors of 66334 are 2, 17, 1951. Prime factorization of 66334 in exponential form is:

66334 = 2¹ × 17¹ × 1951¹

Step-3: Factors of 66317

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

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

Step-4: Factors of 66334

List of positive integer factors of 66334 that divides 66317 without a remainder.

1, 2, 17, 34, 1951, 3902, 33167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66317 and 66334. The biggest common factor number is the GCF number.
So the greatest common factor 66317 and 66334 is 17.

Also check out the Least Common Multiple of 66317 and 66334