What is the Greatest Common Factor of 98268 and 98283?

Greatest common factor (GCF) of 98268 and 98283 is 3.

GCF(98268,98283) = 3

We will now calculate the prime factors of 98268 and 98283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98268 and 98283.

How to find the GCF of 98268 and 98283?

We will first find the prime factorization of 98268 and 98283. After we will calculate the factors of 98268 and 98283 and find the biggest common factor number .

Step-1: Prime Factorization of 98268

Prime factors of 98268 are 2, 3, 19, 431. Prime factorization of 98268 in exponential form is:

98268 = 2² × 3¹ × 19¹ × 431¹

Step-2: Prime Factorization of 98283

Prime factors of 98283 are 3, 181. Prime factorization of 98283 in exponential form is:

98283 = 3¹ × 181²

Step-3: Factors of 98268

List of positive integer factors of 98268 that divides 98268 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 431, 862, 1293, 1724, 2586, 5172, 8189, 16378, 24567, 32756, 49134

Step-4: Factors of 98283

List of positive integer factors of 98283 that divides 98268 without a remainder.

1, 3, 181, 543, 32761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98268 and 98283. The biggest common factor number is the GCF number.
So the greatest common factor 98268 and 98283 is 3.

Also check out the Least Common Multiple of 98268 and 98283