What is the Greatest Common Factor of 22225 and 22232?

Greatest common factor (GCF) of 22225 and 22232 is 7.

GCF(22225,22232) = 7

We will now calculate the prime factors of 22225 and 22232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22225 and 22232.

How to find the GCF of 22225 and 22232?

We will first find the prime factorization of 22225 and 22232. After we will calculate the factors of 22225 and 22232 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 22232

Prime factors of 22232 are 2, 7, 397. Prime factorization of 22232 in exponential form is:

22232 = 2³ × 7¹ × 397¹

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 22232

List of positive integer factors of 22232 that divides 22225 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 397, 794, 1588, 2779, 3176, 5558, 11116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22225 and 22232. The biggest common factor number is the GCF number.
So the greatest common factor 22225 and 22232 is 7.

Also check out the Least Common Multiple of 22225 and 22232