What is the Greatest Common Factor of 42816 and 42822?

Greatest common factor (GCF) of 42816 and 42822 is 6.

GCF(42816,42822) = 6

We will now calculate the prime factors of 42816 and 42822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42816 and 42822.

How to find the GCF of 42816 and 42822?

We will first find the prime factorization of 42816 and 42822. After we will calculate the factors of 42816 and 42822 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 42822

Prime factors of 42822 are 2, 3, 13, 61. Prime factorization of 42822 in exponential form is:

42822 = 2¹ × 3³ × 13¹ × 61¹

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 42822

List of positive integer factors of 42822 that divides 42816 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 61, 78, 117, 122, 183, 234, 351, 366, 549, 702, 793, 1098, 1586, 1647, 2379, 3294, 4758, 7137, 14274, 21411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42816 and 42822. The biggest common factor number is the GCF number.
So the greatest common factor 42816 and 42822 is 6.

Also check out the Least Common Multiple of 42816 and 42822