What is the Greatest Common Factor of 98249 and 98268?

Greatest common factor (GCF) of 98249 and 98268 is 19.

GCF(98249,98268) = 19

We will now calculate the prime factors of 98249 and 98268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98249 and 98268.

How to find the GCF of 98249 and 98268?

We will first find the prime factorization of 98249 and 98268. After we will calculate the factors of 98249 and 98268 and find the biggest common factor number .

Step-1: Prime Factorization of 98249

Prime factors of 98249 are 19, 5171. Prime factorization of 98249 in exponential form is:

98249 = 19¹ × 5171¹

Step-2: 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-3: Factors of 98249

List of positive integer factors of 98249 that divides 98249 without a remainder.

1, 19, 5171

Step-4: Factors of 98268

List of positive integer factors of 98268 that divides 98249 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98249 and 98268. The biggest common factor number is the GCF number.
So the greatest common factor 98249 and 98268 is 19.

Also check out the Least Common Multiple of 98249 and 98268