What is the Greatest Common Factor of 98268 and 98287?

Greatest common factor (GCF) of 98268 and 98287 is 19.

GCF(98268,98287) = 19

We will now calculate the prime factors of 98268 and 98287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98268 and 98287.

How to find the GCF of 98268 and 98287?

We will first find the prime factorization of 98268 and 98287. After we will calculate the factors of 98268 and 98287 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 98287

Prime factors of 98287 are 7, 19, 739. Prime factorization of 98287 in exponential form is:

98287 = 7¹ × 19¹ × 739¹

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 98287

List of positive integer factors of 98287 that divides 98268 without a remainder.

1, 7, 19, 133, 739, 5173, 14041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98268 and 98287. The biggest common factor number is the GCF number.
So the greatest common factor 98268 and 98287 is 19.

Also check out the Least Common Multiple of 98268 and 98287