What is the Greatest Common Factor of 6930 and 6946?

Greatest common factor (GCF) of 6930 and 6946 is 2.

GCF(6930,6946) = 2

We will now calculate the prime factors of 6930 and 6946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6930 and 6946.

How to find the GCF of 6930 and 6946?

We will first find the prime factorization of 6930 and 6946. After we will calculate the factors of 6930 and 6946 and find the biggest common factor number .

Step-1: Prime Factorization of 6930

Prime factors of 6930 are 2, 3, 5, 7, 11. Prime factorization of 6930 in exponential form is:

6930 = 2¹ × 3² × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 6946

Prime factors of 6946 are 2, 23, 151. Prime factorization of 6946 in exponential form is:

6946 = 2¹ × 23¹ × 151¹

Step-3: Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465

Step-4: Factors of 6946

List of positive integer factors of 6946 that divides 6930 without a remainder.

1, 2, 23, 46, 151, 302, 3473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6930 and 6946. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6946 is 2.

Also check out the Least Common Multiple of 6930 and 6946