What is the Greatest Common Factor of 66951 and 66966?

Greatest common factor (GCF) of 66951 and 66966 is 3.

GCF(66951,66966) = 3

We will now calculate the prime factors of 66951 and 66966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66951 and 66966.

How to find the GCF of 66951 and 66966?

We will first find the prime factorization of 66951 and 66966. After we will calculate the factors of 66951 and 66966 and find the biggest common factor number .

Step-1: Prime Factorization of 66951

Prime factors of 66951 are 3, 43, 173. Prime factorization of 66951 in exponential form is:

66951 = 3² × 43¹ × 173¹

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 66951

List of positive integer factors of 66951 that divides 66951 without a remainder.

1, 3, 9, 43, 129, 173, 387, 519, 1557, 7439, 22317

Step-4: Factors of 66966

List of positive integer factors of 66966 that divides 66951 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66951 and 66966. The biggest common factor number is the GCF number.
So the greatest common factor 66951 and 66966 is 3.

Also check out the Least Common Multiple of 66951 and 66966