What is the Greatest Common Factor of 90478 and 90497?

Greatest common factor (GCF) of 90478 and 90497 is 19.

GCF(90478,90497) = 19

We will now calculate the prime factors of 90478 and 90497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90478 and 90497.

How to find the GCF of 90478 and 90497?

We will first find the prime factorization of 90478 and 90497. After we will calculate the factors of 90478 and 90497 and find the biggest common factor number .

Step-1: Prime Factorization of 90478

Prime factors of 90478 are 2, 19, 2381. Prime factorization of 90478 in exponential form is:

90478 = 2¹ × 19¹ × 2381¹

Step-2: Prime Factorization of 90497

Prime factors of 90497 are 11, 19, 433. Prime factorization of 90497 in exponential form is:

90497 = 11¹ × 19¹ × 433¹

Step-3: Factors of 90478

List of positive integer factors of 90478 that divides 90478 without a remainder.

1, 2, 19, 38, 2381, 4762, 45239

Step-4: Factors of 90497

List of positive integer factors of 90497 that divides 90478 without a remainder.

1, 11, 19, 209, 433, 4763, 8227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90478 and 90497. The biggest common factor number is the GCF number.
So the greatest common factor 90478 and 90497 is 19.

Also check out the Least Common Multiple of 90478 and 90497