What is the Greatest Common Factor of 22265 and 22285?

Greatest common factor (GCF) of 22265 and 22285 is 5.

GCF(22265,22285) = 5

We will now calculate the prime factors of 22265 and 22285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22265 and 22285.

How to find the GCF of 22265 and 22285?

We will first find the prime factorization of 22265 and 22285. After we will calculate the factors of 22265 and 22285 and find the biggest common factor number .

Step-1: Prime Factorization of 22265

Prime factors of 22265 are 5, 61, 73. Prime factorization of 22265 in exponential form is:

22265 = 5¹ × 61¹ × 73¹

Step-2: Prime Factorization of 22285

Prime factors of 22285 are 5, 4457. Prime factorization of 22285 in exponential form is:

22285 = 5¹ × 4457¹

Step-3: Factors of 22265

List of positive integer factors of 22265 that divides 22265 without a remainder.

1, 5, 61, 73, 305, 365, 4453

Step-4: Factors of 22285

List of positive integer factors of 22285 that divides 22265 without a remainder.

1, 5, 4457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22265 and 22285. The biggest common factor number is the GCF number.
So the greatest common factor 22265 and 22285 is 5.

Also check out the Least Common Multiple of 22265 and 22285