What is the Greatest Common Factor of 90098 and 90117?

Greatest common factor (GCF) of 90098 and 90117 is 19.

GCF(90098,90117) = 19

We will now calculate the prime factors of 90098 and 90117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90098 and 90117.

How to find the GCF of 90098 and 90117?

We will first find the prime factorization of 90098 and 90117. After we will calculate the factors of 90098 and 90117 and find the biggest common factor number .

Step-1: Prime Factorization of 90098

Prime factors of 90098 are 2, 19, 2371. Prime factorization of 90098 in exponential form is:

90098 = 2¹ × 19¹ × 2371¹

Step-2: Prime Factorization of 90117

Prime factors of 90117 are 3, 17, 19, 31. Prime factorization of 90117 in exponential form is:

90117 = 3² × 17¹ × 19¹ × 31¹

Step-3: Factors of 90098

List of positive integer factors of 90098 that divides 90098 without a remainder.

1, 2, 19, 38, 2371, 4742, 45049

Step-4: Factors of 90117

List of positive integer factors of 90117 that divides 90098 without a remainder.

1, 3, 9, 17, 19, 31, 51, 57, 93, 153, 171, 279, 323, 527, 589, 969, 1581, 1767, 2907, 4743, 5301, 10013, 30039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90098 and 90117. The biggest common factor number is the GCF number.
So the greatest common factor 90098 and 90117 is 19.

Also check out the Least Common Multiple of 90098 and 90117