What is the Greatest Common Factor of 30456 and 30460?

Greatest common factor (GCF) of 30456 and 30460 is 4.

GCF(30456,30460) = 4

We will now calculate the prime factors of 30456 and 30460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30456 and 30460.

How to find the GCF of 30456 and 30460?

We will first find the prime factorization of 30456 and 30460. After we will calculate the factors of 30456 and 30460 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 30460

Prime factors of 30460 are 2, 5, 1523. Prime factorization of 30460 in exponential form is:

30460 = 2² × 5¹ × 1523¹

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 30460

List of positive integer factors of 30460 that divides 30456 without a remainder.

1, 2, 4, 5, 10, 20, 1523, 3046, 6092, 7615, 15230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30456 and 30460. The biggest common factor number is the GCF number.
So the greatest common factor 30456 and 30460 is 4.

Also check out the Least Common Multiple of 30456 and 30460