What is the Greatest Common Factor of 6996 and 7008?

Greatest common factor (GCF) of 6996 and 7008 is 12.

GCF(6996,7008) = 12

We will now calculate the prime factors of 6996 and 7008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6996 and 7008.

How to find the GCF of 6996 and 7008?

We will first find the prime factorization of 6996 and 7008. After we will calculate the factors of 6996 and 7008 and find the biggest common factor number .

Step-1: Prime Factorization of 6996

Prime factors of 6996 are 2, 3, 11, 53. Prime factorization of 6996 in exponential form is:

6996 = 2² × 3¹ × 11¹ × 53¹

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 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498

Step-4: Factors of 7008

List of positive integer factors of 7008 that divides 6996 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 6996 and 7008. The biggest common factor number is the GCF number.
So the greatest common factor 6996 and 7008 is 12.

Also check out the Least Common Multiple of 6996 and 7008