What is the Greatest Common Factor of 30005 and 30022?

Greatest common factor (GCF) of 30005 and 30022 is 17.

GCF(30005,30022) = 17

We will now calculate the prime factors of 30005 and 30022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30005 and 30022.

How to find the GCF of 30005 and 30022?

We will first find the prime factorization of 30005 and 30022. After we will calculate the factors of 30005 and 30022 and find the biggest common factor number .

Step-1: Prime Factorization of 30005

Prime factors of 30005 are 5, 17, 353. Prime factorization of 30005 in exponential form is:

30005 = 5¹ × 17¹ × 353¹

Step-2: Prime Factorization of 30022

Prime factors of 30022 are 2, 17, 883. Prime factorization of 30022 in exponential form is:

30022 = 2¹ × 17¹ × 883¹

Step-3: Factors of 30005

List of positive integer factors of 30005 that divides 30005 without a remainder.

1, 5, 17, 85, 353, 1765, 6001

Step-4: Factors of 30022

List of positive integer factors of 30022 that divides 30005 without a remainder.

1, 2, 17, 34, 883, 1766, 15011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30005 and 30022. The biggest common factor number is the GCF number.
So the greatest common factor 30005 and 30022 is 17.

Also check out the Least Common Multiple of 30005 and 30022