What is the Greatest Common Factor of 18458 and 18469?

Greatest common factor (GCF) of 18458 and 18469 is 11.

GCF(18458,18469) = 11

We will now calculate the prime factors of 18458 and 18469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18458 and 18469.

How to find the GCF of 18458 and 18469?

We will first find the prime factorization of 18458 and 18469. After we will calculate the factors of 18458 and 18469 and find the biggest common factor number .

Step-1: Prime Factorization of 18458

Prime factors of 18458 are 2, 11, 839. Prime factorization of 18458 in exponential form is:

18458 = 2¹ × 11¹ × 839¹

Step-2: Prime Factorization of 18469

Prime factors of 18469 are 11, 23, 73. Prime factorization of 18469 in exponential form is:

18469 = 11¹ × 23¹ × 73¹

Step-3: Factors of 18458

List of positive integer factors of 18458 that divides 18458 without a remainder.

1, 2, 11, 22, 839, 1678, 9229

Step-4: Factors of 18469

List of positive integer factors of 18469 that divides 18458 without a remainder.

1, 11, 23, 73, 253, 803, 1679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18458 and 18469. The biggest common factor number is the GCF number.
So the greatest common factor 18458 and 18469 is 11.

Also check out the Least Common Multiple of 18458 and 18469