What is the Greatest Common Factor of 18374 and 18380?

Greatest common factor (GCF) of 18374 and 18380 is 2.

GCF(18374,18380) = 2

We will now calculate the prime factors of 18374 and 18380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18374 and 18380.

How to find the GCF of 18374 and 18380?

We will first find the prime factorization of 18374 and 18380. After we will calculate the factors of 18374 and 18380 and find the biggest common factor number .

Step-1: Prime Factorization of 18374

Prime factors of 18374 are 2, 9187. Prime factorization of 18374 in exponential form is:

18374 = 2¹ × 9187¹

Step-2: Prime Factorization of 18380

Prime factors of 18380 are 2, 5, 919. Prime factorization of 18380 in exponential form is:

18380 = 2² × 5¹ × 919¹

Step-3: Factors of 18374

List of positive integer factors of 18374 that divides 18374 without a remainder.

1, 2, 9187

Step-4: Factors of 18380

List of positive integer factors of 18380 that divides 18374 without a remainder.

1, 2, 4, 5, 10, 20, 919, 1838, 3676, 4595, 9190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18374 and 18380. The biggest common factor number is the GCF number.
So the greatest common factor 18374 and 18380 is 2.

Also check out the Least Common Multiple of 18374 and 18380