What is the Greatest Common Factor of 6996 and 7003?

Greatest common factor (GCF) of 6996 and 7003 is 1.

GCF(6996,7003) = 1

We will now calculate the prime factors of 6996 and 7003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6996 and 7003.

How to find the GCF of 6996 and 7003?

We will first find the prime factorization of 6996 and 7003. After we will calculate the factors of 6996 and 7003 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 7003

Prime factors of 7003 are 47, 149. Prime factorization of 7003 in exponential form is:

7003 = 47¹ × 149¹

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 7003

List of positive integer factors of 7003 that divides 6996 without a remainder.

1, 47, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6996 and 7003. The biggest common factor number is the GCF number.
So the greatest common factor 6996 and 7003 is 1.

Also check out the Least Common Multiple of 6996 and 7003