What is the Greatest Common Factor of 34816 and 34829?

Greatest common factor (GCF) of 34816 and 34829 is 1.

GCF(34816,34829) = 1

We will now calculate the prime factors of 34816 and 34829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34816 and 34829.

How to find the GCF of 34816 and 34829?

We will first find the prime factorization of 34816 and 34829. After we will calculate the factors of 34816 and 34829 and find the biggest common factor number .

Step-1: Prime Factorization of 34816

Prime factors of 34816 are 2, 17. Prime factorization of 34816 in exponential form is:

34816 = 2¹¹ × 17¹

Step-2: Prime Factorization of 34829

Prime factors of 34829 are 29, 1201. Prime factorization of 34829 in exponential form is:

34829 = 29¹ × 1201¹

Step-3: Factors of 34816

List of positive integer factors of 34816 that divides 34816 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1024, 1088, 2048, 2176, 4352, 8704, 17408

Step-4: Factors of 34829

List of positive integer factors of 34829 that divides 34816 without a remainder.

1, 29, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34816 and 34829. The biggest common factor number is the GCF number.
So the greatest common factor 34816 and 34829 is 1.

Also check out the Least Common Multiple of 34816 and 34829