What is the Greatest Common Factor of 90249 and 90259?

Greatest common factor (GCF) of 90249 and 90259 is 1.

GCF(90249,90259) = 1

We will now calculate the prime factors of 90249 and 90259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90249 and 90259.

How to find the GCF of 90249 and 90259?

We will first find the prime factorization of 90249 and 90259. After we will calculate the factors of 90249 and 90259 and find the biggest common factor number .

Step-1: Prime Factorization of 90249

Prime factors of 90249 are 3, 67, 449. Prime factorization of 90249 in exponential form is:

90249 = 3¹ × 67¹ × 449¹

Step-2: Prime Factorization of 90259

Prime factors of 90259 are 13, 53, 131. Prime factorization of 90259 in exponential form is:

90259 = 13¹ × 53¹ × 131¹

Step-3: Factors of 90249

List of positive integer factors of 90249 that divides 90249 without a remainder.

1, 3, 67, 201, 449, 1347, 30083

Step-4: Factors of 90259

List of positive integer factors of 90259 that divides 90249 without a remainder.

1, 13, 53, 131, 689, 1703, 6943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90249 and 90259. The biggest common factor number is the GCF number.
So the greatest common factor 90249 and 90259 is 1.

Also check out the Least Common Multiple of 90249 and 90259