What is the Greatest Common Factor of 66935 and 66946?

Greatest common factor (GCF) of 66935 and 66946 is 11.

GCF(66935,66946) = 11

We will now calculate the prime factors of 66935 and 66946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66935 and 66946.

How to find the GCF of 66935 and 66946?

We will first find the prime factorization of 66935 and 66946. After we will calculate the factors of 66935 and 66946 and find the biggest common factor number .

Step-1: Prime Factorization of 66935

Prime factors of 66935 are 5, 11, 1217. Prime factorization of 66935 in exponential form is:

66935 = 5¹ × 11¹ × 1217¹

Step-2: 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-3: Factors of 66935

List of positive integer factors of 66935 that divides 66935 without a remainder.

1, 5, 11, 55, 1217, 6085, 13387

Step-4: Factors of 66946

List of positive integer factors of 66946 that divides 66935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66935 and 66946. The biggest common factor number is the GCF number.
So the greatest common factor 66935 and 66946 is 11.

Also check out the Least Common Multiple of 66935 and 66946