What is the Greatest Common Factor of 90500 and 90513?

Greatest common factor (GCF) of 90500 and 90513 is 1.

GCF(90500,90513) = 1

We will now calculate the prime factors of 90500 and 90513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90500 and 90513.

How to find the GCF of 90500 and 90513?

We will first find the prime factorization of 90500 and 90513. After we will calculate the factors of 90500 and 90513 and find the biggest common factor number .

Step-1: Prime Factorization of 90500

Prime factors of 90500 are 2, 5, 181. Prime factorization of 90500 in exponential form is:

90500 = 2² × 5³ × 181¹

Step-2: Prime Factorization of 90513

Prime factors of 90513 are 3, 89, 113. Prime factorization of 90513 in exponential form is:

90513 = 3² × 89¹ × 113¹

Step-3: Factors of 90500

List of positive integer factors of 90500 that divides 90500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 181, 250, 362, 500, 724, 905, 1810, 3620, 4525, 9050, 18100, 22625, 45250

Step-4: Factors of 90513

List of positive integer factors of 90513 that divides 90500 without a remainder.

1, 3, 9, 89, 113, 267, 339, 801, 1017, 10057, 30171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90500 and 90513. The biggest common factor number is the GCF number.
So the greatest common factor 90500 and 90513 is 1.

Also check out the Least Common Multiple of 90500 and 90513