What is the Greatest Common Factor of 30422 and 30441?

Greatest common factor (GCF) of 30422 and 30441 is 1.

GCF(30422,30441) = 1

We will now calculate the prime factors of 30422 and 30441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30422 and 30441.

How to find the GCF of 30422 and 30441?

We will first find the prime factorization of 30422 and 30441. After we will calculate the factors of 30422 and 30441 and find the biggest common factor number .

Step-1: Prime Factorization of 30422

Prime factors of 30422 are 2, 7, 41, 53. Prime factorization of 30422 in exponential form is:

30422 = 2¹ × 7¹ × 41¹ × 53¹

Step-2: Prime Factorization of 30441

Prime factors of 30441 are 3, 73, 139. Prime factorization of 30441 in exponential form is:

30441 = 3¹ × 73¹ × 139¹

Step-3: Factors of 30422

List of positive integer factors of 30422 that divides 30422 without a remainder.

1, 2, 7, 14, 41, 53, 82, 106, 287, 371, 574, 742, 2173, 4346, 15211

Step-4: Factors of 30441

List of positive integer factors of 30441 that divides 30422 without a remainder.

1, 3, 73, 139, 219, 417, 10147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30422 and 30441. The biggest common factor number is the GCF number.
So the greatest common factor 30422 and 30441 is 1.

Also check out the Least Common Multiple of 30422 and 30441