What is the Greatest Common Factor of 42288 and 42296?

Greatest common factor (GCF) of 42288 and 42296 is 8.

GCF(42288,42296) = 8

We will now calculate the prime factors of 42288 and 42296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42288 and 42296.

How to find the GCF of 42288 and 42296?

We will first find the prime factorization of 42288 and 42296. After we will calculate the factors of 42288 and 42296 and find the biggest common factor number .

Step-1: Prime Factorization of 42288

Prime factors of 42288 are 2, 3, 881. Prime factorization of 42288 in exponential form is:

42288 = 2⁴ × 3¹ × 881¹

Step-2: Prime Factorization of 42296

Prime factors of 42296 are 2, 17, 311. Prime factorization of 42296 in exponential form is:

42296 = 2³ × 17¹ × 311¹

Step-3: Factors of 42288

List of positive integer factors of 42288 that divides 42288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 881, 1762, 2643, 3524, 5286, 7048, 10572, 14096, 21144

Step-4: Factors of 42296

List of positive integer factors of 42296 that divides 42288 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 311, 622, 1244, 2488, 5287, 10574, 21148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42288 and 42296. The biggest common factor number is the GCF number.
So the greatest common factor 42288 and 42296 is 8.

Also check out the Least Common Multiple of 42288 and 42296