What is the Greatest Common Factor of 3198 and 3211?

Greatest common factor (GCF) of 3198 and 3211 is 13.

GCF(3198,3211) = 13

We will now calculate the prime factors of 3198 and 3211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3198 and 3211.

How to find the GCF of 3198 and 3211?

We will first find the prime factorization of 3198 and 3211. After we will calculate the factors of 3198 and 3211 and find the biggest common factor number .

Step-1: Prime Factorization of 3198

Prime factors of 3198 are 2, 3, 13, 41. Prime factorization of 3198 in exponential form is:

3198 = 2¹ × 3¹ × 13¹ × 41¹

Step-2: Prime Factorization of 3211

Prime factors of 3211 are 13, 19. Prime factorization of 3211 in exponential form is:

3211 = 13² × 19¹

Step-3: Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599

Step-4: Factors of 3211

List of positive integer factors of 3211 that divides 3198 without a remainder.

1, 13, 19, 169, 247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3198 and 3211. The biggest common factor number is the GCF number.
So the greatest common factor 3198 and 3211 is 13.

Also check out the Least Common Multiple of 3198 and 3211