What is the Greatest Common Factor of 30438 and 30452?

Greatest common factor (GCF) of 30438 and 30452 is 2.

GCF(30438,30452) = 2

We will now calculate the prime factors of 30438 and 30452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30438 and 30452.

How to find the GCF of 30438 and 30452?

We will first find the prime factorization of 30438 and 30452. After we will calculate the factors of 30438 and 30452 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 30452

Prime factors of 30452 are 2, 23, 331. Prime factorization of 30452 in exponential form is:

30452 = 2² × 23¹ × 331¹

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 30452

List of positive integer factors of 30452 that divides 30438 without a remainder.

1, 2, 4, 23, 46, 92, 331, 662, 1324, 7613, 15226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30438 and 30452. The biggest common factor number is the GCF number.
So the greatest common factor 30438 and 30452 is 2.

Also check out the Least Common Multiple of 30438 and 30452