What is the Greatest Common Factor of 30456 and 30468?

Greatest common factor (GCF) of 30456 and 30468 is 12.

GCF(30456,30468) = 12

We will now calculate the prime factors of 30456 and 30468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30456 and 30468.

How to find the GCF of 30456 and 30468?

We will first find the prime factorization of 30456 and 30468. After we will calculate the factors of 30456 and 30468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30468

Prime factors of 30468 are 2, 3, 2539. Prime factorization of 30468 in exponential form is:

30468 = 2² × 3¹ × 2539¹

Step-3: Factors of 30456

List of positive integer factors of 30456 that divides 30456 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

Step-4: Factors of 30468

List of positive integer factors of 30468 that divides 30456 without a remainder.

1, 2, 3, 4, 6, 12, 2539, 5078, 7617, 10156, 15234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30456 and 30468. The biggest common factor number is the GCF number.
So the greatest common factor 30456 and 30468 is 12.

Also check out the Least Common Multiple of 30456 and 30468