What is the Greatest Common Factor of 22225 and 22240?

Greatest common factor (GCF) of 22225 and 22240 is 5.

GCF(22225,22240) = 5

We will now calculate the prime factors of 22225 and 22240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22225 and 22240.

How to find the GCF of 22225 and 22240?

We will first find the prime factorization of 22225 and 22240. After we will calculate the factors of 22225 and 22240 and find the biggest common factor number .

Step-1: Prime Factorization of 22225

Prime factors of 22225 are 5, 7, 127. Prime factorization of 22225 in exponential form is:

22225 = 5² × 7¹ × 127¹

Step-2: Prime Factorization of 22240

Prime factors of 22240 are 2, 5, 139. Prime factorization of 22240 in exponential form is:

22240 = 2⁵ × 5¹ × 139¹

Step-3: Factors of 22225

List of positive integer factors of 22225 that divides 22225 without a remainder.

1, 5, 7, 25, 35, 127, 175, 635, 889, 3175, 4445

Step-4: Factors of 22240

List of positive integer factors of 22240 that divides 22225 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 139, 160, 278, 556, 695, 1112, 1390, 2224, 2780, 4448, 5560, 11120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22225 and 22240. The biggest common factor number is the GCF number.
So the greatest common factor 22225 and 22240 is 5.

Also check out the Least Common Multiple of 22225 and 22240