What is the Greatest Common Factor of 16180 and 16198?

Greatest common factor (GCF) of 16180 and 16198 is 2.

GCF(16180,16198) = 2

We will now calculate the prime factors of 16180 and 16198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16180 and 16198.

How to find the GCF of 16180 and 16198?

We will first find the prime factorization of 16180 and 16198. After we will calculate the factors of 16180 and 16198 and find the biggest common factor number .

Step-1: Prime Factorization of 16180

Prime factors of 16180 are 2, 5, 809. Prime factorization of 16180 in exponential form is:

16180 = 2² × 5¹ × 809¹

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 16180

List of positive integer factors of 16180 that divides 16180 without a remainder.

1, 2, 4, 5, 10, 20, 809, 1618, 3236, 4045, 8090

Step-4: Factors of 16198

List of positive integer factors of 16198 that divides 16180 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 16180 and 16198. The biggest common factor number is the GCF number.
So the greatest common factor 16180 and 16198 is 2.

Also check out the Least Common Multiple of 16180 and 16198