What is the Greatest Common Factor of 18146 and 18156?

Greatest common factor (GCF) of 18146 and 18156 is 2.

GCF(18146,18156) = 2

We will now calculate the prime factors of 18146 and 18156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18146 and 18156.

How to find the GCF of 18146 and 18156?

We will first find the prime factorization of 18146 and 18156. After we will calculate the factors of 18146 and 18156 and find the biggest common factor number .

Step-1: Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 2¹ × 43¹ × 211¹

Step-2: Prime Factorization of 18156

Prime factors of 18156 are 2, 3, 17, 89. Prime factorization of 18156 in exponential form is:

18156 = 2² × 3¹ × 17¹ × 89¹

Step-3: Factors of 18146

List of positive integer factors of 18146 that divides 18146 without a remainder.

1, 2, 43, 86, 211, 422, 9073

Step-4: Factors of 18156

List of positive integer factors of 18156 that divides 18146 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 89, 102, 178, 204, 267, 356, 534, 1068, 1513, 3026, 4539, 6052, 9078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18146 and 18156. The biggest common factor number is the GCF number.
So the greatest common factor 18146 and 18156 is 2.

Also check out the Least Common Multiple of 18146 and 18156