What is the Greatest Common Factor of 90894 and 90909?

Greatest common factor (GCF) of 90894 and 90909 is 3.

GCF(90894,90909) = 3

We will now calculate the prime factors of 90894 and 90909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90894 and 90909.

How to find the GCF of 90894 and 90909?

We will first find the prime factorization of 90894 and 90909. After we will calculate the factors of 90894 and 90909 and find the biggest common factor number .

Step-1: Prime Factorization of 90894

Prime factors of 90894 are 2, 3, 15149. Prime factorization of 90894 in exponential form is:

90894 = 2¹ × 3¹ × 15149¹

Step-2: Prime Factorization of 90909

Prime factors of 90909 are 3, 7, 13, 37. Prime factorization of 90909 in exponential form is:

90909 = 3³ × 7¹ × 13¹ × 37¹

Step-3: Factors of 90894

List of positive integer factors of 90894 that divides 90894 without a remainder.

1, 2, 3, 6, 15149, 30298, 45447

Step-4: Factors of 90909

List of positive integer factors of 90909 that divides 90894 without a remainder.

1, 3, 7, 9, 13, 21, 27, 37, 39, 63, 91, 111, 117, 189, 259, 273, 333, 351, 481, 777, 819, 999, 1443, 2331, 2457, 3367, 4329, 6993, 10101, 12987, 30303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90894 and 90909. The biggest common factor number is the GCF number.
So the greatest common factor 90894 and 90909 is 3.

Also check out the Least Common Multiple of 90894 and 90909