What is the Greatest Common Factor of 66946 and 66957?

Greatest common factor (GCF) of 66946 and 66957 is 11.

GCF(66946,66957) = 11

We will now calculate the prime factors of 66946 and 66957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66946 and 66957.

How to find the GCF of 66946 and 66957?

We will first find the prime factorization of 66946 and 66957. After we will calculate the factors of 66946 and 66957 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 66957

Prime factors of 66957 are 3, 11, 2029. Prime factorization of 66957 in exponential form is:

66957 = 3¹ × 11¹ × 2029¹

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 66957

List of positive integer factors of 66957 that divides 66946 without a remainder.

1, 3, 11, 33, 2029, 6087, 22319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66946 and 66957. The biggest common factor number is the GCF number.
So the greatest common factor 66946 and 66957 is 11.

Also check out the Least Common Multiple of 66946 and 66957