What is the Greatest Common Factor of 42816 and 42829?

Greatest common factor (GCF) of 42816 and 42829 is 1.

GCF(42816,42829) = 1

We will now calculate the prime factors of 42816 and 42829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42816 and 42829.

How to find the GCF of 42816 and 42829?

We will first find the prime factorization of 42816 and 42829. After we will calculate the factors of 42816 and 42829 and find the biggest common factor number .

Step-1: Prime Factorization of 42816

Prime factors of 42816 are 2, 3, 223. Prime factorization of 42816 in exponential form is:

42816 = 2⁶ × 3¹ × 223¹

Step-2: Prime Factorization of 42829

Prime factors of 42829 are 42829. Prime factorization of 42829 in exponential form is:

42829 = 42829¹

Step-3: Factors of 42816

List of positive integer factors of 42816 that divides 42816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 223, 446, 669, 892, 1338, 1784, 2676, 3568, 5352, 7136, 10704, 14272, 21408

Step-4: Factors of 42829

List of positive integer factors of 42829 that divides 42816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42816 and 42829. The biggest common factor number is the GCF number.
So the greatest common factor 42816 and 42829 is 1.

Also check out the Least Common Multiple of 42816 and 42829