What is the Greatest Common Factor of 6978 and 6996?

Greatest common factor (GCF) of 6978 and 6996 is 6.

GCF(6978,6996) = 6

We will now calculate the prime factors of 6978 and 6996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6978 and 6996.

How to find the GCF of 6978 and 6996?

We will first find the prime factorization of 6978 and 6996. After we will calculate the factors of 6978 and 6996 and find the biggest common factor number .

Step-1: Prime Factorization of 6978

Prime factors of 6978 are 2, 3, 1163. Prime factorization of 6978 in exponential form is:

6978 = 2¹ × 3¹ × 1163¹

Step-2: 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-3: Factors of 6978

List of positive integer factors of 6978 that divides 6978 without a remainder.

1, 2, 3, 6, 1163, 2326, 3489

Step-4: Factors of 6996

List of positive integer factors of 6996 that divides 6978 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6978 and 6996. The biggest common factor number is the GCF number.
So the greatest common factor 6978 and 6996 is 6.

Also check out the Least Common Multiple of 6978 and 6996