What is the Greatest Common Factor of 18060 and 18074?

Greatest common factor (GCF) of 18060 and 18074 is 14.

GCF(18060,18074) = 14

We will now calculate the prime factors of 18060 and 18074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18060 and 18074.

How to find the GCF of 18060 and 18074?

We will first find the prime factorization of 18060 and 18074. After we will calculate the factors of 18060 and 18074 and find the biggest common factor number .

Step-1: Prime Factorization of 18060

Prime factors of 18060 are 2, 3, 5, 7, 43. Prime factorization of 18060 in exponential form is:

18060 = 2² × 3¹ × 5¹ × 7¹ × 43¹

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 18060

List of positive integer factors of 18060 that divides 18060 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 43, 60, 70, 84, 86, 105, 129, 140, 172, 210, 215, 258, 301, 420, 430, 516, 602, 645, 860, 903, 1204, 1290, 1505, 1806, 2580, 3010, 3612, 4515, 6020, 9030

Step-4: Factors of 18074

List of positive integer factors of 18074 that divides 18060 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18060 and 18074. The biggest common factor number is the GCF number.
So the greatest common factor 18060 and 18074 is 14.

Also check out the Least Common Multiple of 18060 and 18074