What is the Greatest Common Factor of 18074 and 18080?

Greatest common factor (GCF) of 18074 and 18080 is 2.

GCF(18074,18080) = 2

We will now calculate the prime factors of 18074 and 18080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18074 and 18080.

How to find the GCF of 18074 and 18080?

We will first find the prime factorization of 18074 and 18080. After we will calculate the factors of 18074 and 18080 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 18080

Prime factors of 18080 are 2, 5, 113. Prime factorization of 18080 in exponential form is:

18080 = 2⁵ × 5¹ × 113¹

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 18080

List of positive integer factors of 18080 that divides 18074 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 113, 160, 226, 452, 565, 904, 1130, 1808, 2260, 3616, 4520, 9040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18074 and 18080. The biggest common factor number is the GCF number.
So the greatest common factor 18074 and 18080 is 2.

Also check out the Least Common Multiple of 18074 and 18080