What is the Greatest Common Factor of 18340 and 18349?

Greatest common factor (GCF) of 18340 and 18349 is 1.

GCF(18340,18349) = 1

We will now calculate the prime factors of 18340 and 18349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18340 and 18349.

How to find the GCF of 18340 and 18349?

We will first find the prime factorization of 18340 and 18349. After we will calculate the factors of 18340 and 18349 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 18349

Prime factors of 18349 are 59, 311. Prime factorization of 18349 in exponential form is:

18349 = 59¹ × 311¹

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 18349

List of positive integer factors of 18349 that divides 18340 without a remainder.

1, 59, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18340 and 18349. The biggest common factor number is the GCF number.
So the greatest common factor 18340 and 18349 is 1.

Also check out the Least Common Multiple of 18340 and 18349