What is the Greatest Common Factor of 90000 and 90019?

Greatest common factor (GCF) of 90000 and 90019 is 1.

GCF(90000,90019) = 1

We will now calculate the prime factors of 90000 and 90019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90000 and 90019.

How to find the GCF of 90000 and 90019?

We will first find the prime factorization of 90000 and 90019. After we will calculate the factors of 90000 and 90019 and find the biggest common factor number .

Step-1: Prime Factorization of 90000

Prime factors of 90000 are 2, 3, 5. Prime factorization of 90000 in exponential form is:

90000 = 2⁴ × 3² × 5⁴

Step-2: Prime Factorization of 90019

Prime factors of 90019 are 90019. Prime factorization of 90019 in exponential form is:

90019 = 90019¹

Step-3: Factors of 90000

List of positive integer factors of 90000 that divides 90000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 625, 720, 750, 900, 1000, 1125, 1200, 1250, 1500, 1800, 1875, 2000, 2250, 2500, 3000, 3600, 3750, 4500, 5000, 5625, 6000, 7500, 9000, 10000, 11250, 15000, 18000, 22500, 30000, 45000

Step-4: Factors of 90019

List of positive integer factors of 90019 that divides 90000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90000 and 90019. The biggest common factor number is the GCF number.
So the greatest common factor 90000 and 90019 is 1.

Also check out the Least Common Multiple of 90000 and 90019