What is the Greatest Common Factor of 90897 and 90903?

Greatest common factor (GCF) of 90897 and 90903 is 3.

GCF(90897,90903) = 3

We will now calculate the prime factors of 90897 and 90903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90897 and 90903.

How to find the GCF of 90897 and 90903?

We will first find the prime factorization of 90897 and 90903. After we will calculate the factors of 90897 and 90903 and find the biggest common factor number .

Step-1: Prime Factorization of 90897

Prime factors of 90897 are 3, 41, 739. Prime factorization of 90897 in exponential form is:

90897 = 3¹ × 41¹ × 739¹

Step-2: Prime Factorization of 90903

Prime factors of 90903 are 3, 157, 193. Prime factorization of 90903 in exponential form is:

90903 = 3¹ × 157¹ × 193¹

Step-3: Factors of 90897

List of positive integer factors of 90897 that divides 90897 without a remainder.

1, 3, 41, 123, 739, 2217, 30299

Step-4: Factors of 90903

List of positive integer factors of 90903 that divides 90897 without a remainder.

1, 3, 157, 193, 471, 579, 30301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90897 and 90903. The biggest common factor number is the GCF number.
So the greatest common factor 90897 and 90903 is 3.

Also check out the Least Common Multiple of 90897 and 90903