What is the Greatest Common Factor of 90259 and 90271?

Greatest common factor (GCF) of 90259 and 90271 is 1.

GCF(90259,90271) = 1

We will now calculate the prime factors of 90259 and 90271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90259 and 90271.

How to find the GCF of 90259 and 90271?

We will first find the prime factorization of 90259 and 90271. After we will calculate the factors of 90259 and 90271 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90271

Prime factors of 90271 are 90271. Prime factorization of 90271 in exponential form is:

90271 = 90271¹

Step-3: Factors of 90259

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

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

Step-4: Factors of 90271

List of positive integer factors of 90271 that divides 90259 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90259 and 90271. The biggest common factor number is the GCF number.
So the greatest common factor 90259 and 90271 is 1.

Also check out the Least Common Multiple of 90259 and 90271