What is the Greatest Common Factor of 34816 and 34831?

Greatest common factor (GCF) of 34816 and 34831 is 1.

GCF(34816,34831) = 1

We will now calculate the prime factors of 34816 and 34831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34816 and 34831.

How to find the GCF of 34816 and 34831?

We will first find the prime factorization of 34816 and 34831. After we will calculate the factors of 34816 and 34831 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 34831

Prime factors of 34831 are 61, 571. Prime factorization of 34831 in exponential form is:

34831 = 61¹ × 571¹

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 34831

List of positive integer factors of 34831 that divides 34816 without a remainder.

1, 61, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34816 and 34831. The biggest common factor number is the GCF number.
So the greatest common factor 34816 and 34831 is 1.

Also check out the Least Common Multiple of 34816 and 34831