What is the Greatest Common Factor of 90423 and 90440?

Greatest common factor (GCF) of 90423 and 90440 is 17.

GCF(90423,90440) = 17

We will now calculate the prime factors of 90423 and 90440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90423 and 90440.

How to find the GCF of 90423 and 90440?

We will first find the prime factorization of 90423 and 90440. After we will calculate the factors of 90423 and 90440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90440

Prime factors of 90440 are 2, 5, 7, 17, 19. Prime factorization of 90440 in exponential form is:

90440 = 2³ × 5¹ × 7¹ × 17¹ × 19¹

Step-3: Factors of 90423

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

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

Step-4: Factors of 90440

List of positive integer factors of 90440 that divides 90423 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 19, 20, 28, 34, 35, 38, 40, 56, 68, 70, 76, 85, 95, 119, 133, 136, 140, 152, 170, 190, 238, 266, 280, 323, 340, 380, 476, 532, 595, 646, 665, 680, 760, 952, 1064, 1190, 1292, 1330, 1615, 2261, 2380, 2584, 2660, 3230, 4522, 4760, 5320, 6460, 9044, 11305, 12920, 18088, 22610, 45220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90423 and 90440. The biggest common factor number is the GCF number.
So the greatest common factor 90423 and 90440 is 17.

Also check out the Least Common Multiple of 90423 and 90440