What is the Greatest Common Factor of 90516 and 90523?

Greatest common factor (GCF) of 90516 and 90523 is 1.

GCF(90516,90523) = 1

We will now calculate the prime factors of 90516 and 90523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90516 and 90523.

How to find the GCF of 90516 and 90523?

We will first find the prime factorization of 90516 and 90523. After we will calculate the factors of 90516 and 90523 and find the biggest common factor number .

Step-1: Prime Factorization of 90516

Prime factors of 90516 are 2, 3, 19, 397. Prime factorization of 90516 in exponential form is:

90516 = 2² × 3¹ × 19¹ × 397¹

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 90516

List of positive integer factors of 90516 that divides 90516 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 397, 794, 1191, 1588, 2382, 4764, 7543, 15086, 22629, 30172, 45258

Step-4: Factors of 90523

List of positive integer factors of 90523 that divides 90516 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90516 and 90523. The biggest common factor number is the GCF number.
So the greatest common factor 90516 and 90523 is 1.

Also check out the Least Common Multiple of 90516 and 90523