What is the Greatest Common Factor of 90457 and 90474?

Greatest common factor (GCF) of 90457 and 90474 is 17.

GCF(90457,90474) = 17

We will now calculate the prime factors of 90457 and 90474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90457 and 90474.

How to find the GCF of 90457 and 90474?

We will first find the prime factorization of 90457 and 90474. After we will calculate the factors of 90457 and 90474 and find the biggest common factor number .

Step-1: Prime Factorization of 90457

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

90457 = 17² × 313¹

Step-2: Prime Factorization of 90474

Prime factors of 90474 are 2, 3, 17, 887. Prime factorization of 90474 in exponential form is:

90474 = 2¹ × 3¹ × 17¹ × 887¹

Step-3: Factors of 90457

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

1, 17, 289, 313, 5321

Step-4: Factors of 90474

List of positive integer factors of 90474 that divides 90457 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 887, 1774, 2661, 5322, 15079, 30158, 45237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90457 and 90474. The biggest common factor number is the GCF number.
So the greatest common factor 90457 and 90474 is 17.

Also check out the Least Common Multiple of 90457 and 90474