What is the Greatest Common Factor of 30438 and 30457?

Greatest common factor (GCF) of 30438 and 30457 is 19.

GCF(30438,30457) = 19

We will now calculate the prime factors of 30438 and 30457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30438 and 30457.

How to find the GCF of 30438 and 30457?

We will first find the prime factorization of 30438 and 30457. After we will calculate the factors of 30438 and 30457 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 30457

Prime factors of 30457 are 7, 19, 229. Prime factorization of 30457 in exponential form is:

30457 = 7¹ × 19¹ × 229¹

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 30457

List of positive integer factors of 30457 that divides 30438 without a remainder.

1, 7, 19, 133, 229, 1603, 4351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30438 and 30457. The biggest common factor number is the GCF number.
So the greatest common factor 30438 and 30457 is 19.

Also check out the Least Common Multiple of 30438 and 30457