What is the Greatest Common Factor of 90406 and 90423?

Greatest common factor (GCF) of 90406 and 90423 is 17.

GCF(90406,90423) = 17

We will now calculate the prime factors of 90406 and 90423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90406 and 90423.

How to find the GCF of 90406 and 90423?

We will first find the prime factorization of 90406 and 90423. After we will calculate the factors of 90406 and 90423 and find the biggest common factor number .

Step-1: Prime Factorization of 90406

Prime factors of 90406 are 2, 17, 2659. Prime factorization of 90406 in exponential form is:

90406 = 2¹ × 17¹ × 2659¹

Step-2: Prime Factorization of 90423

Prime factors of 90423 are 3, 17, 197. Prime factorization of 90423 in exponential form is:

90423 = 3³ × 17¹ × 197¹

Step-3: Factors of 90406

List of positive integer factors of 90406 that divides 90406 without a remainder.

1, 2, 17, 34, 2659, 5318, 45203

Step-4: Factors of 90423

List of positive integer factors of 90423 that divides 90406 without a remainder.

1, 3, 9, 17, 27, 51, 153, 197, 459, 591, 1773, 3349, 5319, 10047, 30141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90406 and 90423. The biggest common factor number is the GCF number.
So the greatest common factor 90406 and 90423 is 17.

Also check out the Least Common Multiple of 90406 and 90423