What is the Greatest Common Factor of 6990 and 7005?

Greatest common factor (GCF) of 6990 and 7005 is 15.

GCF(6990,7005) = 15

We will now calculate the prime factors of 6990 and 7005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6990 and 7005.

How to find the GCF of 6990 and 7005?

We will first find the prime factorization of 6990 and 7005. After we will calculate the factors of 6990 and 7005 and find the biggest common factor number .

Step-1: Prime Factorization of 6990

Prime factors of 6990 are 2, 3, 5, 233. Prime factorization of 6990 in exponential form is:

6990 = 2¹ × 3¹ × 5¹ × 233¹

Step-2: Prime Factorization of 7005

Prime factors of 7005 are 3, 5, 467. Prime factorization of 7005 in exponential form is:

7005 = 3¹ × 5¹ × 467¹

Step-3: Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495

Step-4: Factors of 7005

List of positive integer factors of 7005 that divides 6990 without a remainder.

1, 3, 5, 15, 467, 1401, 2335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6990 and 7005. The biggest common factor number is the GCF number.
So the greatest common factor 6990 and 7005 is 15.

Also check out the Least Common Multiple of 6990 and 7005