What is the Greatest Common Factor of 30408 and 30422?

Greatest common factor (GCF) of 30408 and 30422 is 14.

GCF(30408,30422) = 14

We will now calculate the prime factors of 30408 and 30422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30408 and 30422.

How to find the GCF of 30408 and 30422?

We will first find the prime factorization of 30408 and 30422. After we will calculate the factors of 30408 and 30422 and find the biggest common factor number .

Step-1: Prime Factorization of 30408

Prime factors of 30408 are 2, 3, 7, 181. Prime factorization of 30408 in exponential form is:

30408 = 2³ × 3¹ × 7¹ × 181¹

Step-2: 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-3: Factors of 30408

List of positive integer factors of 30408 that divides 30408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 181, 362, 543, 724, 1086, 1267, 1448, 2172, 2534, 3801, 4344, 5068, 7602, 10136, 15204

Step-4: Factors of 30422

List of positive integer factors of 30422 that divides 30408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30408 and 30422. The biggest common factor number is the GCF number.
So the greatest common factor 30408 and 30422 is 14.

Also check out the Least Common Multiple of 30408 and 30422