What is the Greatest Common Factor of 30816 and 30826?

Greatest common factor (GCF) of 30816 and 30826 is 2.

GCF(30816,30826) = 2

We will now calculate the prime factors of 30816 and 30826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30816 and 30826.

How to find the GCF of 30816 and 30826?

We will first find the prime factorization of 30816 and 30826. After we will calculate the factors of 30816 and 30826 and find the biggest common factor number .

Step-1: Prime Factorization of 30816

Prime factors of 30816 are 2, 3, 107. Prime factorization of 30816 in exponential form is:

30816 = 2⁵ × 3² × 107¹

Step-2: Prime Factorization of 30826

Prime factors of 30826 are 2, 15413. Prime factorization of 30826 in exponential form is:

30826 = 2¹ × 15413¹

Step-3: Factors of 30816

List of positive integer factors of 30816 that divides 30816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 107, 144, 214, 288, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3424, 3852, 5136, 7704, 10272, 15408

Step-4: Factors of 30826

List of positive integer factors of 30826 that divides 30816 without a remainder.

1, 2, 15413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30816 and 30826. The biggest common factor number is the GCF number.
So the greatest common factor 30816 and 30826 is 2.

Also check out the Least Common Multiple of 30816 and 30826