What is the Greatest Common Factor of 18074 and 18090?

Greatest common factor (GCF) of 18074 and 18090 is 2.

GCF(18074,18090) = 2

We will now calculate the prime factors of 18074 and 18090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18074 and 18090.

How to find the GCF of 18074 and 18090?

We will first find the prime factorization of 18074 and 18090. After we will calculate the factors of 18074 and 18090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18090

Prime factors of 18090 are 2, 3, 5, 67. Prime factorization of 18090 in exponential form is:

18090 = 2¹ × 3³ × 5¹ × 67¹

Step-3: Factors of 18074

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

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

Step-4: Factors of 18090

List of positive integer factors of 18090 that divides 18074 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 67, 90, 134, 135, 201, 270, 335, 402, 603, 670, 1005, 1206, 1809, 2010, 3015, 3618, 6030, 9045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18074 and 18090. The biggest common factor number is the GCF number.
So the greatest common factor 18074 and 18090 is 2.

Also check out the Least Common Multiple of 18074 and 18090