What is the Greatest Common Factor of 90000 and 90005?

Greatest common factor (GCF) of 90000 and 90005 is 5.

GCF(90000,90005) = 5

We will now calculate the prime factors of 90000 and 90005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90000 and 90005.

How to find the GCF of 90000 and 90005?

We will first find the prime factorization of 90000 and 90005. After we will calculate the factors of 90000 and 90005 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 90005

Prime factors of 90005 are 5, 47, 383. Prime factorization of 90005 in exponential form is:

90005 = 5¹ × 47¹ × 383¹

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 90005

List of positive integer factors of 90005 that divides 90000 without a remainder.

1, 5, 47, 235, 383, 1915, 18001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90000 and 90005. The biggest common factor number is the GCF number.
So the greatest common factor 90000 and 90005 is 5.

Also check out the Least Common Multiple of 90000 and 90005