What is the Greatest Common Factor of 30464 and 30476?

Greatest common factor (GCF) of 30464 and 30476 is 4.

GCF(30464,30476) = 4

We will now calculate the prime factors of 30464 and 30476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30464 and 30476.

How to find the GCF of 30464 and 30476?

We will first find the prime factorization of 30464 and 30476. After we will calculate the factors of 30464 and 30476 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 30476

Prime factors of 30476 are 2, 19, 401. Prime factorization of 30476 in exponential form is:

30476 = 2² × 19¹ × 401¹

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 30476

List of positive integer factors of 30476 that divides 30464 without a remainder.

1, 2, 4, 19, 38, 76, 401, 802, 1604, 7619, 15238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30464 and 30476. The biggest common factor number is the GCF number.
So the greatest common factor 30464 and 30476 is 4.

Also check out the Least Common Multiple of 30464 and 30476