What is the Greatest Common Factor of 18212 and 18229?

Greatest common factor (GCF) of 18212 and 18229 is 1.

GCF(18212,18229) = 1

We will now calculate the prime factors of 18212 and 18229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18212 and 18229.

How to find the GCF of 18212 and 18229?

We will first find the prime factorization of 18212 and 18229. After we will calculate the factors of 18212 and 18229 and find the biggest common factor number .

Step-1: Prime Factorization of 18212

Prime factors of 18212 are 2, 29, 157. Prime factorization of 18212 in exponential form is:

18212 = 2² × 29¹ × 157¹

Step-2: Prime Factorization of 18229

Prime factors of 18229 are 18229. Prime factorization of 18229 in exponential form is:

18229 = 18229¹

Step-3: Factors of 18212

List of positive integer factors of 18212 that divides 18212 without a remainder.

1, 2, 4, 29, 58, 116, 157, 314, 628, 4553, 9106

Step-4: Factors of 18229

List of positive integer factors of 18229 that divides 18212 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18212 and 18229. The biggest common factor number is the GCF number.
So the greatest common factor 18212 and 18229 is 1.

Also check out the Least Common Multiple of 18212 and 18229