What is the Greatest Common Factor of 18054 and 18074?

Greatest common factor (GCF) of 18054 and 18074 is 2.

GCF(18054,18074) = 2

We will now calculate the prime factors of 18054 and 18074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18054 and 18074.

How to find the GCF of 18054 and 18074?

We will first find the prime factorization of 18054 and 18074. After we will calculate the factors of 18054 and 18074 and find the biggest common factor number .

Step-1: Prime Factorization of 18054

Prime factors of 18054 are 2, 3, 17, 59. Prime factorization of 18054 in exponential form is:

18054 = 2¹ × 3² × 17¹ × 59¹

Step-2: Prime Factorization of 18074

Prime factors of 18074 are 2, 7, 1291. Prime factorization of 18074 in exponential form is:

18074 = 2¹ × 7¹ × 1291¹

Step-3: Factors of 18054

List of positive integer factors of 18054 that divides 18054 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 59, 102, 118, 153, 177, 306, 354, 531, 1003, 1062, 2006, 3009, 6018, 9027

Step-4: Factors of 18074

List of positive integer factors of 18074 that divides 18054 without a remainder.

1, 2, 7, 14, 1291, 2582, 9037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18054 and 18074. The biggest common factor number is the GCF number.
So the greatest common factor 18054 and 18074 is 2.

Also check out the Least Common Multiple of 18054 and 18074