What is the Greatest Common Factor of 90440 and 90459?

Greatest common factor (GCF) of 90440 and 90459 is 19.

GCF(90440,90459) = 19

We will now calculate the prime factors of 90440 and 90459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90440 and 90459.

How to find the GCF of 90440 and 90459?

We will first find the prime factorization of 90440 and 90459. After we will calculate the factors of 90440 and 90459 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90459

Prime factors of 90459 are 3, 19, 23. Prime factorization of 90459 in exponential form is:

90459 = 3² × 19¹ × 23²

Step-3: Factors of 90440

List of positive integer factors of 90440 that divides 90440 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

Step-4: Factors of 90459

List of positive integer factors of 90459 that divides 90440 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 529, 1311, 1587, 3933, 4761, 10051, 30153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90440 and 90459. The biggest common factor number is the GCF number.
So the greatest common factor 90440 and 90459 is 19.

Also check out the Least Common Multiple of 90440 and 90459