What is the Greatest Common Factor of 22225 and 22237?

Greatest common factor (GCF) of 22225 and 22237 is 1.

GCF(22225,22237) = 1

We will now calculate the prime factors of 22225 and 22237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22225 and 22237.

How to find the GCF of 22225 and 22237?

We will first find the prime factorization of 22225 and 22237. After we will calculate the factors of 22225 and 22237 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 22237

Prime factors of 22237 are 37, 601. Prime factorization of 22237 in exponential form is:

22237 = 37¹ × 601¹

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 22237

List of positive integer factors of 22237 that divides 22225 without a remainder.

1, 37, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22225 and 22237. The biggest common factor number is the GCF number.
So the greatest common factor 22225 and 22237 is 1.

Also check out the Least Common Multiple of 22225 and 22237