What is the Greatest Common Factor of 6926 and 6930?

Greatest common factor (GCF) of 6926 and 6930 is 2.

GCF(6926,6930) = 2

We will now calculate the prime factors of 6926 and 6930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6926 and 6930.

How to find the GCF of 6926 and 6930?

We will first find the prime factorization of 6926 and 6930. After we will calculate the factors of 6926 and 6930 and find the biggest common factor number .

Step-1: Prime Factorization of 6926

Prime factors of 6926 are 2, 3463. Prime factorization of 6926 in exponential form is:

6926 = 2¹ × 3463¹

Step-2: 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-3: Factors of 6926

List of positive integer factors of 6926 that divides 6926 without a remainder.

1, 2, 3463

Step-4: Factors of 6930

List of positive integer factors of 6930 that divides 6926 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6926 and 6930. The biggest common factor number is the GCF number.
So the greatest common factor 6926 and 6930 is 2.

Also check out the Least Common Multiple of 6926 and 6930