What is the Greatest Common Factor of 22405 and 22422?

Greatest common factor (GCF) of 22405 and 22422 is 1.

GCF(22405,22422) = 1

We will now calculate the prime factors of 22405 and 22422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22405 and 22422.

How to find the GCF of 22405 and 22422?

We will first find the prime factorization of 22405 and 22422. After we will calculate the factors of 22405 and 22422 and find the biggest common factor number .

Step-1: Prime Factorization of 22405

Prime factors of 22405 are 5, 4481. Prime factorization of 22405 in exponential form is:

22405 = 5¹ × 4481¹

Step-2: Prime Factorization of 22422

Prime factors of 22422 are 2, 3, 37, 101. Prime factorization of 22422 in exponential form is:

22422 = 2¹ × 3¹ × 37¹ × 101¹

Step-3: Factors of 22405

List of positive integer factors of 22405 that divides 22405 without a remainder.

1, 5, 4481

Step-4: Factors of 22422

List of positive integer factors of 22422 that divides 22405 without a remainder.

1, 2, 3, 6, 37, 74, 101, 111, 202, 222, 303, 606, 3737, 7474, 11211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22405 and 22422. The biggest common factor number is the GCF number.
So the greatest common factor 22405 and 22422 is 1.

Also check out the Least Common Multiple of 22405 and 22422