What is the Greatest Common Factor of 66954 and 66963?

Greatest common factor (GCF) of 66954 and 66963 is 3.

GCF(66954,66963) = 3

We will now calculate the prime factors of 66954 and 66963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66954 and 66963.

How to find the GCF of 66954 and 66963?

We will first find the prime factorization of 66954 and 66963. After we will calculate the factors of 66954 and 66963 and find the biggest common factor number .

Step-1: Prime Factorization of 66954

Prime factors of 66954 are 2, 3, 11159. Prime factorization of 66954 in exponential form is:

66954 = 2¹ × 3¹ × 11159¹

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 66954

List of positive integer factors of 66954 that divides 66954 without a remainder.

1, 2, 3, 6, 11159, 22318, 33477

Step-4: Factors of 66963

List of positive integer factors of 66963 that divides 66954 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 66954 and 66963. The biggest common factor number is the GCF number.
So the greatest common factor 66954 and 66963 is 3.

Also check out the Least Common Multiple of 66954 and 66963