What is the Greatest Common Factor of 42816 and 42825?

Greatest common factor (GCF) of 42816 and 42825 is 3.

GCF(42816,42825) = 3

We will now calculate the prime factors of 42816 and 42825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42816 and 42825.

How to find the GCF of 42816 and 42825?

We will first find the prime factorization of 42816 and 42825. After we will calculate the factors of 42816 and 42825 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 42825

Prime factors of 42825 are 3, 5, 571. Prime factorization of 42825 in exponential form is:

42825 = 3¹ × 5² × 571¹

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 42825

List of positive integer factors of 42825 that divides 42816 without a remainder.

1, 3, 5, 15, 25, 75, 571, 1713, 2855, 8565, 14275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42816 and 42825. The biggest common factor number is the GCF number.
So the greatest common factor 42816 and 42825 is 3.

Also check out the Least Common Multiple of 42816 and 42825