What is the Greatest Common Factor of 18226 and 18242?

Greatest common factor (GCF) of 18226 and 18242 is 2.

GCF(18226,18242) = 2

We will now calculate the prime factors of 18226 and 18242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18226 and 18242.

How to find the GCF of 18226 and 18242?

We will first find the prime factorization of 18226 and 18242. After we will calculate the factors of 18226 and 18242 and find the biggest common factor number .

Step-1: Prime Factorization of 18226

Prime factors of 18226 are 2, 13, 701. Prime factorization of 18226 in exponential form is:

18226 = 2¹ × 13¹ × 701¹

Step-2: Prime Factorization of 18242

Prime factors of 18242 are 2, 7, 1303. Prime factorization of 18242 in exponential form is:

18242 = 2¹ × 7¹ × 1303¹

Step-3: Factors of 18226

List of positive integer factors of 18226 that divides 18226 without a remainder.

1, 2, 13, 26, 701, 1402, 9113

Step-4: Factors of 18242

List of positive integer factors of 18242 that divides 18226 without a remainder.

1, 2, 7, 14, 1303, 2606, 9121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18226 and 18242. The biggest common factor number is the GCF number.
So the greatest common factor 18226 and 18242 is 2.

Also check out the Least Common Multiple of 18226 and 18242