What is the Greatest Common Factor of 30464 and 30481?

Greatest common factor (GCF) of 30464 and 30481 is 17.

GCF(30464,30481) = 17

We will now calculate the prime factors of 30464 and 30481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30464 and 30481.

How to find the GCF of 30464 and 30481?

We will first find the prime factorization of 30464 and 30481. After we will calculate the factors of 30464 and 30481 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 30481

Prime factors of 30481 are 11, 17, 163. Prime factorization of 30481 in exponential form is:

30481 = 11¹ × 17¹ × 163¹

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 30481

List of positive integer factors of 30481 that divides 30464 without a remainder.

1, 11, 17, 163, 187, 1793, 2771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30464 and 30481. The biggest common factor number is the GCF number.
So the greatest common factor 30464 and 30481 is 17.

Also check out the Least Common Multiple of 30464 and 30481