What is the Greatest Common Factor of 22475 and 22480?

Greatest common factor (GCF) of 22475 and 22480 is 5.

GCF(22475,22480) = 5

We will now calculate the prime factors of 22475 and 22480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22475 and 22480.

How to find the GCF of 22475 and 22480?

We will first find the prime factorization of 22475 and 22480. After we will calculate the factors of 22475 and 22480 and find the biggest common factor number .

Step-1: Prime Factorization of 22475

Prime factors of 22475 are 5, 29, 31. Prime factorization of 22475 in exponential form is:

22475 = 5² × 29¹ × 31¹

Step-2: 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-3: Factors of 22475

List of positive integer factors of 22475 that divides 22475 without a remainder.

1, 5, 25, 29, 31, 145, 155, 725, 775, 899, 4495

Step-4: Factors of 22480

List of positive integer factors of 22480 that divides 22475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22475 and 22480. The biggest common factor number is the GCF number.
So the greatest common factor 22475 and 22480 is 5.

Also check out the Least Common Multiple of 22475 and 22480