What is the Greatest Common Factor of 66948 and 66966?

Greatest common factor (GCF) of 66948 and 66966 is 6.

GCF(66948,66966) = 6

We will now calculate the prime factors of 66948 and 66966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66948 and 66966.

How to find the GCF of 66948 and 66966?

We will first find the prime factorization of 66948 and 66966. After we will calculate the factors of 66948 and 66966 and find the biggest common factor number .

Step-1: Prime Factorization of 66948

Prime factors of 66948 are 2, 3, 7, 797. Prime factorization of 66948 in exponential form is:

66948 = 2² × 3¹ × 7¹ × 797¹

Step-2: Prime Factorization of 66966

Prime factors of 66966 are 2, 3, 11161. Prime factorization of 66966 in exponential form is:

66966 = 2¹ × 3¹ × 11161¹

Step-3: Factors of 66948

List of positive integer factors of 66948 that divides 66948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 797, 1594, 2391, 3188, 4782, 5579, 9564, 11158, 16737, 22316, 33474

Step-4: Factors of 66966

List of positive integer factors of 66966 that divides 66948 without a remainder.

1, 2, 3, 6, 11161, 22322, 33483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66948 and 66966. The biggest common factor number is the GCF number.
So the greatest common factor 66948 and 66966 is 6.

Also check out the Least Common Multiple of 66948 and 66966