What is the Greatest Common Factor of 18538 and 18546?

Greatest common factor (GCF) of 18538 and 18546 is 2.

GCF(18538,18546) = 2

We will now calculate the prime factors of 18538 and 18546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18538 and 18546.

How to find the GCF of 18538 and 18546?

We will first find the prime factorization of 18538 and 18546. After we will calculate the factors of 18538 and 18546 and find the biggest common factor number .

Step-1: Prime Factorization of 18538

Prime factors of 18538 are 2, 13, 23, 31. Prime factorization of 18538 in exponential form is:

18538 = 2¹ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 18546

Prime factors of 18546 are 2, 3, 11, 281. Prime factorization of 18546 in exponential form is:

18546 = 2¹ × 3¹ × 11¹ × 281¹

Step-3: Factors of 18538

List of positive integer factors of 18538 that divides 18538 without a remainder.

1, 2, 13, 23, 26, 31, 46, 62, 299, 403, 598, 713, 806, 1426, 9269

Step-4: Factors of 18546

List of positive integer factors of 18546 that divides 18538 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 281, 562, 843, 1686, 3091, 6182, 9273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18538 and 18546. The biggest common factor number is the GCF number.
So the greatest common factor 18538 and 18546 is 2.

Also check out the Least Common Multiple of 18538 and 18546