What is the Greatest Common Factor of 90000 and 90016?

Greatest common factor (GCF) of 90000 and 90016 is 16.

GCF(90000,90016) = 16

We will now calculate the prime factors of 90000 and 90016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90000 and 90016.

How to find the GCF of 90000 and 90016?

We will first find the prime factorization of 90000 and 90016. After we will calculate the factors of 90000 and 90016 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 90016

Prime factors of 90016 are 2, 29, 97. Prime factorization of 90016 in exponential form is:

90016 = 2⁵ × 29¹ × 97¹

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 90016

List of positive integer factors of 90016 that divides 90000 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 97, 116, 194, 232, 388, 464, 776, 928, 1552, 2813, 3104, 5626, 11252, 22504, 45008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90000 and 90016. The biggest common factor number is the GCF number.
So the greatest common factor 90000 and 90016 is 16.

Also check out the Least Common Multiple of 90000 and 90016