What is the Greatest Common Factor of 90440 and 90457?

Greatest common factor (GCF) of 90440 and 90457 is 17.

GCF(90440,90457) = 17

We will now calculate the prime factors of 90440 and 90457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90440 and 90457.

How to find the GCF of 90440 and 90457?

We will first find the prime factorization of 90440 and 90457. After we will calculate the factors of 90440 and 90457 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 90457

Prime factors of 90457 are 17, 313. Prime factorization of 90457 in exponential form is:

90457 = 17² × 313¹

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 90457

List of positive integer factors of 90457 that divides 90440 without a remainder.

1, 17, 289, 313, 5321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90440 and 90457. The biggest common factor number is the GCF number.
So the greatest common factor 90440 and 90457 is 17.

Also check out the Least Common Multiple of 90440 and 90457