What is the Greatest Common Factor of 6930 and 6945?

Greatest common factor (GCF) of 6930 and 6945 is 15.

GCF(6930,6945) = 15

We will now calculate the prime factors of 6930 and 6945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6930 and 6945.

How to find the GCF of 6930 and 6945?

We will first find the prime factorization of 6930 and 6945. After we will calculate the factors of 6930 and 6945 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 6945

Prime factors of 6945 are 3, 5, 463. Prime factorization of 6945 in exponential form is:

6945 = 3¹ × 5¹ × 463¹

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 6945

List of positive integer factors of 6945 that divides 6930 without a remainder.

1, 3, 5, 15, 463, 1389, 2315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6930 and 6945. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6945 is 15.

Also check out the Least Common Multiple of 6930 and 6945