What is the Greatest Common Factor of 99238 and 99243?

Greatest common factor (GCF) of 99238 and 99243 is 1.

GCF(99238,99243) = 1

We will now calculate the prime factors of 99238 and 99243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99238 and 99243.

How to find the GCF of 99238 and 99243?

We will first find the prime factorization of 99238 and 99243. After we will calculate the factors of 99238 and 99243 and find the biggest common factor number .

Step-1: Prime Factorization of 99238

Prime factors of 99238 are 2, 29, 59. Prime factorization of 99238 in exponential form is:

99238 = 2¹ × 29² × 59¹

Step-2: Prime Factorization of 99243

Prime factors of 99243 are 3, 11027. Prime factorization of 99243 in exponential form is:

99243 = 3² × 11027¹

Step-3: Factors of 99238

List of positive integer factors of 99238 that divides 99238 without a remainder.

1, 2, 29, 58, 59, 118, 841, 1682, 1711, 3422, 49619

Step-4: Factors of 99243

List of positive integer factors of 99243 that divides 99238 without a remainder.

1, 3, 9, 11027, 33081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99238 and 99243. The biggest common factor number is the GCF number.
So the greatest common factor 99238 and 99243 is 1.

Also check out the Least Common Multiple of 99238 and 99243