What is the Greatest Common Factor of 18340 and 18354?

Greatest common factor (GCF) of 18340 and 18354 is 14.

GCF(18340,18354) = 14

We will now calculate the prime factors of 18340 and 18354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18340 and 18354.

How to find the GCF of 18340 and 18354?

We will first find the prime factorization of 18340 and 18354. After we will calculate the factors of 18340 and 18354 and find the biggest common factor number .

Step-1: Prime Factorization of 18340

Prime factors of 18340 are 2, 5, 7, 131. Prime factorization of 18340 in exponential form is:

18340 = 2² × 5¹ × 7¹ × 131¹

Step-2: 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-3: Factors of 18340

List of positive integer factors of 18340 that divides 18340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 131, 140, 262, 524, 655, 917, 1310, 1834, 2620, 3668, 4585, 9170

Step-4: Factors of 18354

List of positive integer factors of 18354 that divides 18340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18340 and 18354. The biggest common factor number is the GCF number.
So the greatest common factor 18340 and 18354 is 14.

Also check out the Least Common Multiple of 18340 and 18354