What is the Greatest Common Factor of 30464 and 30482?

Greatest common factor (GCF) of 30464 and 30482 is 2.

GCF(30464,30482) = 2

We will now calculate the prime factors of 30464 and 30482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30464 and 30482.

How to find the GCF of 30464 and 30482?

We will first find the prime factorization of 30464 and 30482. After we will calculate the factors of 30464 and 30482 and find the biggest common factor number .

Step-1: Prime Factorization of 30464

Prime factors of 30464 are 2, 7, 17. Prime factorization of 30464 in exponential form is:

30464 = 2⁸ × 7¹ × 17¹

Step-2: Prime Factorization of 30482

Prime factors of 30482 are 2, 15241. Prime factorization of 30482 in exponential form is:

30482 = 2¹ × 15241¹

Step-3: Factors of 30464

List of positive integer factors of 30464 that divides 30464 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 256, 272, 448, 476, 544, 896, 952, 1088, 1792, 1904, 2176, 3808, 4352, 7616, 15232

Step-4: Factors of 30482

List of positive integer factors of 30482 that divides 30464 without a remainder.

1, 2, 15241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30464 and 30482. The biggest common factor number is the GCF number.
So the greatest common factor 30464 and 30482 is 2.

Also check out the Least Common Multiple of 30464 and 30482