What is the Greatest Common Factor of 22480 and 22500?

Greatest common factor (GCF) of 22480 and 22500 is 20.

GCF(22480,22500) = 20

We will now calculate the prime factors of 22480 and 22500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22480 and 22500.

How to find the GCF of 22480 and 22500?

We will first find the prime factorization of 22480 and 22500. After we will calculate the factors of 22480 and 22500 and find the biggest common factor number .

Step-1: Prime Factorization of 22480

Prime factors of 22480 are 2, 5, 281. Prime factorization of 22480 in exponential form is:

22480 = 2⁴ × 5¹ × 281¹

Step-2: Prime Factorization of 22500

Prime factors of 22500 are 2, 3, 5. Prime factorization of 22500 in exponential form is:

22500 = 2² × 3² × 5⁴

Step-3: Factors of 22480

List of positive integer factors of 22480 that divides 22480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 281, 562, 1124, 1405, 2248, 2810, 4496, 5620, 11240

Step-4: Factors of 22500

List of positive integer factors of 22500 that divides 22480 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 625, 750, 900, 1125, 1250, 1500, 1875, 2250, 2500, 3750, 4500, 5625, 7500, 11250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22480 and 22500. The biggest common factor number is the GCF number.
So the greatest common factor 22480 and 22500 is 20.

Also check out the Least Common Multiple of 22480 and 22500