What is the Greatest Common Factor of 18838 and 18846?

Greatest common factor (GCF) of 18838 and 18846 is 2.

GCF(18838,18846) = 2

We will now calculate the prime factors of 18838 and 18846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18838 and 18846.

How to find the GCF of 18838 and 18846?

We will first find the prime factorization of 18838 and 18846. After we will calculate the factors of 18838 and 18846 and find the biggest common factor number .

Step-1: Prime Factorization of 18838

Prime factors of 18838 are 2, 9419. Prime factorization of 18838 in exponential form is:

18838 = 2¹ × 9419¹

Step-2: Prime Factorization of 18846

Prime factors of 18846 are 2, 3, 349. Prime factorization of 18846 in exponential form is:

18846 = 2¹ × 3³ × 349¹

Step-3: Factors of 18838

List of positive integer factors of 18838 that divides 18838 without a remainder.

1, 2, 9419

Step-4: Factors of 18846

List of positive integer factors of 18846 that divides 18838 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 349, 698, 1047, 2094, 3141, 6282, 9423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18838 and 18846. The biggest common factor number is the GCF number.
So the greatest common factor 18838 and 18846 is 2.

Also check out the Least Common Multiple of 18838 and 18846