What is the Greatest Common Factor of 16191 and 16198?

Greatest common factor (GCF) of 16191 and 16198 is 7.

GCF(16191,16198) = 7

We will now calculate the prime factors of 16191 and 16198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16191 and 16198.

How to find the GCF of 16191 and 16198?

We will first find the prime factorization of 16191 and 16198. After we will calculate the factors of 16191 and 16198 and find the biggest common factor number .

Step-1: Prime Factorization of 16191

Prime factors of 16191 are 3, 7, 257. Prime factorization of 16191 in exponential form is:

16191 = 3² × 7¹ × 257¹

Step-2: 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-3: Factors of 16191

List of positive integer factors of 16191 that divides 16191 without a remainder.

1, 3, 7, 9, 21, 63, 257, 771, 1799, 2313, 5397

Step-4: Factors of 16198

List of positive integer factors of 16198 that divides 16191 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16191 and 16198. The biggest common factor number is the GCF number.
So the greatest common factor 16191 and 16198 is 7.

Also check out the Least Common Multiple of 16191 and 16198