What is the Greatest Common Factor of 6993 and 7008?

Greatest common factor (GCF) of 6993 and 7008 is 3.

GCF(6993,7008) = 3

We will now calculate the prime factors of 6993 and 7008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6993 and 7008.

How to find the GCF of 6993 and 7008?

We will first find the prime factorization of 6993 and 7008. After we will calculate the factors of 6993 and 7008 and find the biggest common factor number .

Step-1: Prime Factorization of 6993

Prime factors of 6993 are 3, 7, 37. Prime factorization of 6993 in exponential form is:

6993 = 3³ × 7¹ × 37¹

Step-2: Prime Factorization of 7008

Prime factors of 7008 are 2, 3, 73. Prime factorization of 7008 in exponential form is:

7008 = 2⁵ × 3¹ × 73¹

Step-3: Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331

Step-4: Factors of 7008

List of positive integer factors of 7008 that divides 6993 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6993 and 7008. The biggest common factor number is the GCF number.
So the greatest common factor 6993 and 7008 is 3.

Also check out the Least Common Multiple of 6993 and 7008