What is the Greatest Common Factor of 66928 and 66946?

Greatest common factor (GCF) of 66928 and 66946 is 2.

GCF(66928,66946) = 2

We will now calculate the prime factors of 66928 and 66946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66928 and 66946.

How to find the GCF of 66928 and 66946?

We will first find the prime factorization of 66928 and 66946. After we will calculate the factors of 66928 and 66946 and find the biggest common factor number .

Step-1: Prime Factorization of 66928

Prime factors of 66928 are 2, 47, 89. Prime factorization of 66928 in exponential form is:

66928 = 2⁴ × 47¹ × 89¹

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 66928

List of positive integer factors of 66928 that divides 66928 without a remainder.

1, 2, 4, 8, 16, 47, 89, 94, 178, 188, 356, 376, 712, 752, 1424, 4183, 8366, 16732, 33464

Step-4: Factors of 66946

List of positive integer factors of 66946 that divides 66928 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 66928 and 66946. The biggest common factor number is the GCF number.
So the greatest common factor 66928 and 66946 is 2.

Also check out the Least Common Multiple of 66928 and 66946