What is the Greatest Common Factor of 90505 and 90523?

Greatest common factor (GCF) of 90505 and 90523 is 1.

GCF(90505,90523) = 1

We will now calculate the prime factors of 90505 and 90523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90505 and 90523.

How to find the GCF of 90505 and 90523?

We will first find the prime factorization of 90505 and 90523. After we will calculate the factors of 90505 and 90523 and find the biggest common factor number .

Step-1: Prime Factorization of 90505

Prime factors of 90505 are 5, 23, 787. Prime factorization of 90505 in exponential form is:

90505 = 5¹ × 23¹ × 787¹

Step-2: Prime Factorization of 90523

Prime factors of 90523 are 90523. Prime factorization of 90523 in exponential form is:

90523 = 90523¹

Step-3: Factors of 90505

List of positive integer factors of 90505 that divides 90505 without a remainder.

1, 5, 23, 115, 787, 3935, 18101

Step-4: Factors of 90523

List of positive integer factors of 90523 that divides 90505 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90505 and 90523. The biggest common factor number is the GCF number.
So the greatest common factor 90505 and 90523 is 1.

Also check out the Least Common Multiple of 90505 and 90523