What is the Greatest Common Factor of 98214 and 98223?

Greatest common factor (GCF) of 98214 and 98223 is 3.

GCF(98214,98223) = 3

We will now calculate the prime factors of 98214 and 98223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98214 and 98223.

How to find the GCF of 98214 and 98223?

We will first find the prime factorization of 98214 and 98223. After we will calculate the factors of 98214 and 98223 and find the biggest common factor number .

Step-1: Prime Factorization of 98214

Prime factors of 98214 are 2, 3, 16369. Prime factorization of 98214 in exponential form is:

98214 = 2¹ × 3¹ × 16369¹

Step-2: Prime Factorization of 98223

Prime factors of 98223 are 3, 29, 1129. Prime factorization of 98223 in exponential form is:

98223 = 3¹ × 29¹ × 1129¹

Step-3: Factors of 98214

List of positive integer factors of 98214 that divides 98214 without a remainder.

1, 2, 3, 6, 16369, 32738, 49107

Step-4: Factors of 98223

List of positive integer factors of 98223 that divides 98214 without a remainder.

1, 3, 29, 87, 1129, 3387, 32741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98214 and 98223. The biggest common factor number is the GCF number.
So the greatest common factor 98214 and 98223 is 3.

Also check out the Least Common Multiple of 98214 and 98223