What is the Greatest Common Factor of 42816 and 42836?

Greatest common factor (GCF) of 42816 and 42836 is 4.

GCF(42816,42836) = 4

We will now calculate the prime factors of 42816 and 42836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42816 and 42836.

How to find the GCF of 42816 and 42836?

We will first find the prime factorization of 42816 and 42836. After we will calculate the factors of 42816 and 42836 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 42836

Prime factors of 42836 are 2, 10709. Prime factorization of 42836 in exponential form is:

42836 = 2² × 10709¹

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 42836

List of positive integer factors of 42836 that divides 42816 without a remainder.

1, 2, 4, 10709, 21418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42816 and 42836. The biggest common factor number is the GCF number.
So the greatest common factor 42816 and 42836 is 4.

Also check out the Least Common Multiple of 42816 and 42836