What is the Greatest Common Factor of 18274 and 18282?

Greatest common factor (GCF) of 18274 and 18282 is 2.

GCF(18274,18282) = 2

We will now calculate the prime factors of 18274 and 18282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18274 and 18282.

How to find the GCF of 18274 and 18282?

We will first find the prime factorization of 18274 and 18282. After we will calculate the factors of 18274 and 18282 and find the biggest common factor number .

Step-1: Prime Factorization of 18274

Prime factors of 18274 are 2, 9137. Prime factorization of 18274 in exponential form is:

18274 = 2¹ × 9137¹

Step-2: Prime Factorization of 18282

Prime factors of 18282 are 2, 3, 11, 277. Prime factorization of 18282 in exponential form is:

18282 = 2¹ × 3¹ × 11¹ × 277¹

Step-3: Factors of 18274

List of positive integer factors of 18274 that divides 18274 without a remainder.

1, 2, 9137

Step-4: Factors of 18282

List of positive integer factors of 18282 that divides 18274 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 277, 554, 831, 1662, 3047, 6094, 9141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18274 and 18282. The biggest common factor number is the GCF number.
So the greatest common factor 18274 and 18282 is 2.

Also check out the Least Common Multiple of 18274 and 18282