What is the Greatest Common Factor of 89990 and 90000?

Greatest common factor (GCF) of 89990 and 90000 is 10.

GCF(89990,90000) = 10

We will now calculate the prime factors of 89990 and 90000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89990 and 90000.

How to find the GCF of 89990 and 90000?

We will first find the prime factorization of 89990 and 90000. After we will calculate the factors of 89990 and 90000 and find the biggest common factor number .

Step-1: Prime Factorization of 89990

Prime factors of 89990 are 2, 5, 8999. Prime factorization of 89990 in exponential form is:

89990 = 2¹ × 5¹ × 8999¹

Step-2: 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-3: Factors of 89990

List of positive integer factors of 89990 that divides 89990 without a remainder.

1, 2, 5, 10, 8999, 17998, 44995

Step-4: Factors of 90000

List of positive integer factors of 90000 that divides 89990 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89990 and 90000. The biggest common factor number is the GCF number.
So the greatest common factor 89990 and 90000 is 10.

Also check out the Least Common Multiple of 89990 and 90000