What is the Greatest Common Factor of 42816 and 42821?

Greatest common factor (GCF) of 42816 and 42821 is 1.

GCF(42816,42821) = 1

We will now calculate the prime factors of 42816 and 42821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42816 and 42821.

How to find the GCF of 42816 and 42821?

We will first find the prime factorization of 42816 and 42821. After we will calculate the factors of 42816 and 42821 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 42821

Prime factors of 42821 are 42821. Prime factorization of 42821 in exponential form is:

42821 = 42821¹

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 42821

List of positive integer factors of 42821 that divides 42816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42816 and 42821. The biggest common factor number is the GCF number.
So the greatest common factor 42816 and 42821 is 1.

Also check out the Least Common Multiple of 42816 and 42821