What is the Greatest Common Factor of 98252 and 98259?

Greatest common factor (GCF) of 98252 and 98259 is 7.

GCF(98252,98259) = 7

We will now calculate the prime factors of 98252 and 98259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98252 and 98259.

How to find the GCF of 98252 and 98259?

We will first find the prime factorization of 98252 and 98259. After we will calculate the factors of 98252 and 98259 and find the biggest common factor number .

Step-1: Prime Factorization of 98252

Prime factors of 98252 are 2, 7, 11, 29. Prime factorization of 98252 in exponential form is:

98252 = 2² × 7¹ × 11² × 29¹

Step-2: Prime Factorization of 98259

Prime factors of 98259 are 3, 7, 4679. Prime factorization of 98259 in exponential form is:

98259 = 3¹ × 7¹ × 4679¹

Step-3: Factors of 98252

List of positive integer factors of 98252 that divides 98252 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 121, 154, 203, 242, 308, 319, 406, 484, 638, 812, 847, 1276, 1694, 2233, 3388, 3509, 4466, 7018, 8932, 14036, 24563, 49126

Step-4: Factors of 98259

List of positive integer factors of 98259 that divides 98252 without a remainder.

1, 3, 7, 21, 4679, 14037, 32753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98252 and 98259. The biggest common factor number is the GCF number.
So the greatest common factor 98252 and 98259 is 7.

Also check out the Least Common Multiple of 98252 and 98259