What is the Greatest Common Factor of 16198 and 16211?

Greatest common factor (GCF) of 16198 and 16211 is 13.

GCF(16198,16211) = 13

We will now calculate the prime factors of 16198 and 16211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16198 and 16211.

How to find the GCF of 16198 and 16211?

We will first find the prime factorization of 16198 and 16211. After we will calculate the factors of 16198 and 16211 and find the biggest common factor number .

Step-1: Prime Factorization of 16198

Prime factors of 16198 are 2, 7, 13, 89. Prime factorization of 16198 in exponential form is:

16198 = 2¹ × 7¹ × 13¹ × 89¹

Step-2: Prime Factorization of 16211

Prime factors of 16211 are 13, 29, 43. Prime factorization of 16211 in exponential form is:

16211 = 13¹ × 29¹ × 43¹

Step-3: Factors of 16198

List of positive integer factors of 16198 that divides 16198 without a remainder.

1, 2, 7, 13, 14, 26, 89, 91, 178, 182, 623, 1157, 1246, 2314, 8099

Step-4: Factors of 16211

List of positive integer factors of 16211 that divides 16198 without a remainder.

1, 13, 29, 43, 377, 559, 1247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16198 and 16211. The biggest common factor number is the GCF number.
So the greatest common factor 16198 and 16211 is 13.

Also check out the Least Common Multiple of 16198 and 16211