What is the Greatest Common Factor of 90513 and 90533?

Greatest common factor (GCF) of 90513 and 90533 is 1.

GCF(90513,90533) = 1

We will now calculate the prime factors of 90513 and 90533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90513 and 90533.

How to find the GCF of 90513 and 90533?

We will first find the prime factorization of 90513 and 90533. After we will calculate the factors of 90513 and 90533 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90533

Prime factors of 90533 are 90533. Prime factorization of 90533 in exponential form is:

90533 = 90533¹

Step-3: Factors of 90513

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

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

Step-4: Factors of 90533

List of positive integer factors of 90533 that divides 90513 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90513 and 90533. The biggest common factor number is the GCF number.
So the greatest common factor 90513 and 90533 is 1.

Also check out the Least Common Multiple of 90513 and 90533