What is the Greatest Common Factor of 18354 and 18374?

Greatest common factor (GCF) of 18354 and 18374 is 2.

GCF(18354,18374) = 2

We will now calculate the prime factors of 18354 and 18374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18354 and 18374.

How to find the GCF of 18354 and 18374?

We will first find the prime factorization of 18354 and 18374. After we will calculate the factors of 18354 and 18374 and find the biggest common factor number .

Step-1: Prime Factorization of 18354

Prime factors of 18354 are 2, 3, 7, 19, 23. Prime factorization of 18354 in exponential form is:

18354 = 2¹ × 3¹ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 18374

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

18374 = 2¹ × 9187¹

Step-3: Factors of 18354

List of positive integer factors of 18354 that divides 18354 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 23, 38, 42, 46, 57, 69, 114, 133, 138, 161, 266, 322, 399, 437, 483, 798, 874, 966, 1311, 2622, 3059, 6118, 9177

Step-4: Factors of 18374

List of positive integer factors of 18374 that divides 18354 without a remainder.

1, 2, 9187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18354 and 18374. The biggest common factor number is the GCF number.
So the greatest common factor 18354 and 18374 is 2.

Also check out the Least Common Multiple of 18354 and 18374