What is the Greatest Common Factor of 98268 and 98284?

Greatest common factor (GCF) of 98268 and 98284 is 4.

GCF(98268,98284) = 4

We will now calculate the prime factors of 98268 and 98284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98268 and 98284.

How to find the GCF of 98268 and 98284?

We will first find the prime factorization of 98268 and 98284. After we will calculate the factors of 98268 and 98284 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 98284

Prime factors of 98284 are 2, 24571. Prime factorization of 98284 in exponential form is:

98284 = 2² × 24571¹

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 98284

List of positive integer factors of 98284 that divides 98268 without a remainder.

1, 2, 4, 24571, 49142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98268 and 98284. The biggest common factor number is the GCF number.
So the greatest common factor 98268 and 98284 is 4.

Also check out the Least Common Multiple of 98268 and 98284