What is the Greatest Common Factor of 66946 and 66963?

Greatest common factor (GCF) of 66946 and 66963 is 17.

GCF(66946,66963) = 17

We will now calculate the prime factors of 66946 and 66963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66946 and 66963.

How to find the GCF of 66946 and 66963?

We will first find the prime factorization of 66946 and 66963. After we will calculate the factors of 66946 and 66963 and find the biggest common factor number .

Step-1: Prime Factorization of 66946

Prime factors of 66946 are 2, 11, 17, 179. Prime factorization of 66946 in exponential form is:

66946 = 2¹ × 11¹ × 17¹ × 179¹

Step-2: Prime Factorization of 66963

Prime factors of 66963 are 3, 13, 17, 101. Prime factorization of 66963 in exponential form is:

66963 = 3¹ × 13¹ × 17¹ × 101¹

Step-3: Factors of 66946

List of positive integer factors of 66946 that divides 66946 without a remainder.

1, 2, 11, 17, 22, 34, 179, 187, 358, 374, 1969, 3043, 3938, 6086, 33473

Step-4: Factors of 66963

List of positive integer factors of 66963 that divides 66946 without a remainder.

1, 3, 13, 17, 39, 51, 101, 221, 303, 663, 1313, 1717, 3939, 5151, 22321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66946 and 66963. The biggest common factor number is the GCF number.
So the greatest common factor 66946 and 66963 is 17.

Also check out the Least Common Multiple of 66946 and 66963