What is the Greatest Common Factor of 30438 and 30455?

Greatest common factor (GCF) of 30438 and 30455 is 1.

GCF(30438,30455) = 1

We will now calculate the prime factors of 30438 and 30455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30438 and 30455.

How to find the GCF of 30438 and 30455?

We will first find the prime factorization of 30438 and 30455. After we will calculate the factors of 30438 and 30455 and find the biggest common factor number .

Step-1: Prime Factorization of 30438

Prime factors of 30438 are 2, 3, 19, 89. Prime factorization of 30438 in exponential form is:

30438 = 2¹ × 3² × 19¹ × 89¹

Step-2: Prime Factorization of 30455

Prime factors of 30455 are 5, 6091. Prime factorization of 30455 in exponential form is:

30455 = 5¹ × 6091¹

Step-3: Factors of 30438

List of positive integer factors of 30438 that divides 30438 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 89, 114, 171, 178, 267, 342, 534, 801, 1602, 1691, 3382, 5073, 10146, 15219

Step-4: Factors of 30455

List of positive integer factors of 30455 that divides 30438 without a remainder.

1, 5, 6091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30438 and 30455. The biggest common factor number is the GCF number.
So the greatest common factor 30438 and 30455 is 1.

Also check out the Least Common Multiple of 30438 and 30455