What is the Greatest Common Factor of 30438 and 30456?

Greatest common factor (GCF) of 30438 and 30456 is 18.

GCF(30438,30456) = 18

We will now calculate the prime factors of 30438 and 30456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30438 and 30456.

How to find the GCF of 30438 and 30456?

We will first find the prime factorization of 30438 and 30456. After we will calculate the factors of 30438 and 30456 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 30456

Prime factors of 30456 are 2, 3, 47. Prime factorization of 30456 in exponential form is:

30456 = 2³ × 3⁴ × 47¹

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 30456

List of positive integer factors of 30456 that divides 30438 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 47, 54, 72, 81, 94, 108, 141, 162, 188, 216, 282, 324, 376, 423, 564, 648, 846, 1128, 1269, 1692, 2538, 3384, 3807, 5076, 7614, 10152, 15228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30438 and 30456. The biggest common factor number is the GCF number.
So the greatest common factor 30438 and 30456 is 18.

Also check out the Least Common Multiple of 30438 and 30456