What is the Greatest Common Factor of 90497 and 90503?

Greatest common factor (GCF) of 90497 and 90503 is 1.

GCF(90497,90503) = 1

We will now calculate the prime factors of 90497 and 90503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90497 and 90503.

How to find the GCF of 90497 and 90503?

We will first find the prime factorization of 90497 and 90503. After we will calculate the factors of 90497 and 90503 and find the biggest common factor number .

Step-1: Prime Factorization of 90497

Prime factors of 90497 are 11, 19, 433. Prime factorization of 90497 in exponential form is:

90497 = 11¹ × 19¹ × 433¹

Step-2: Prime Factorization of 90503

Prime factors of 90503 are 7, 1847. Prime factorization of 90503 in exponential form is:

90503 = 7² × 1847¹

Step-3: Factors of 90497

List of positive integer factors of 90497 that divides 90497 without a remainder.

1, 11, 19, 209, 433, 4763, 8227

Step-4: Factors of 90503

List of positive integer factors of 90503 that divides 90497 without a remainder.

1, 7, 49, 1847, 12929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90497 and 90503. The biggest common factor number is the GCF number.
So the greatest common factor 90497 and 90503 is 1.

Also check out the Least Common Multiple of 90497 and 90503