What is the Greatest Common Factor of 22208 and 22225?

Greatest common factor (GCF) of 22208 and 22225 is 1.

GCF(22208,22225) = 1

We will now calculate the prime factors of 22208 and 22225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22208 and 22225.

How to find the GCF of 22208 and 22225?

We will first find the prime factorization of 22208 and 22225. After we will calculate the factors of 22208 and 22225 and find the biggest common factor number .

Step-1: Prime Factorization of 22208

Prime factors of 22208 are 2, 347. Prime factorization of 22208 in exponential form is:

22208 = 2⁶ × 347¹

Step-2: 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-3: Factors of 22208

List of positive integer factors of 22208 that divides 22208 without a remainder.

1, 2, 4, 8, 16, 32, 64, 347, 694, 1388, 2776, 5552, 11104

Step-4: Factors of 22225

List of positive integer factors of 22225 that divides 22208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22208 and 22225. The biggest common factor number is the GCF number.
So the greatest common factor 22208 and 22225 is 1.

Also check out the Least Common Multiple of 22208 and 22225