What is the Greatest Common Factor of 18538 and 18542?

Greatest common factor (GCF) of 18538 and 18542 is 2.

GCF(18538,18542) = 2

We will now calculate the prime factors of 18538 and 18542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18538 and 18542.

How to find the GCF of 18538 and 18542?

We will first find the prime factorization of 18538 and 18542. After we will calculate the factors of 18538 and 18542 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 18542

Prime factors of 18542 are 2, 73, 127. Prime factorization of 18542 in exponential form is:

18542 = 2¹ × 73¹ × 127¹

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 18542

List of positive integer factors of 18542 that divides 18538 without a remainder.

1, 2, 73, 127, 146, 254, 9271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18538 and 18542. The biggest common factor number is the GCF number.
So the greatest common factor 18538 and 18542 is 2.

Also check out the Least Common Multiple of 18538 and 18542