What is the Greatest Common Factor of 90893 and 90900?

Greatest common factor (GCF) of 90893 and 90900 is 1.

GCF(90893,90900) = 1

We will now calculate the prime factors of 90893 and 90900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90893 and 90900.

How to find the GCF of 90893 and 90900?

We will first find the prime factorization of 90893 and 90900. After we will calculate the factors of 90893 and 90900 and find the biggest common factor number .

Step-1: Prime Factorization of 90893

Prime factors of 90893 are 11, 8263. Prime factorization of 90893 in exponential form is:

90893 = 11¹ × 8263¹

Step-2: Prime Factorization of 90900

Prime factors of 90900 are 2, 3, 5, 101. Prime factorization of 90900 in exponential form is:

90900 = 2² × 3² × 5² × 101¹

Step-3: Factors of 90893

List of positive integer factors of 90893 that divides 90893 without a remainder.

1, 11, 8263

Step-4: Factors of 90900

List of positive integer factors of 90900 that divides 90893 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 101, 150, 180, 202, 225, 300, 303, 404, 450, 505, 606, 900, 909, 1010, 1212, 1515, 1818, 2020, 2525, 3030, 3636, 4545, 5050, 6060, 7575, 9090, 10100, 15150, 18180, 22725, 30300, 45450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90893 and 90900. The biggest common factor number is the GCF number.
So the greatest common factor 90893 and 90900 is 1.

Also check out the Least Common Multiple of 90893 and 90900