What is the Greatest Common Factor of 42304 and 42312?

Greatest common factor (GCF) of 42304 and 42312 is 8.

GCF(42304,42312) = 8

We will now calculate the prime factors of 42304 and 42312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42304 and 42312.

How to find the GCF of 42304 and 42312?

We will first find the prime factorization of 42304 and 42312. After we will calculate the factors of 42304 and 42312 and find the biggest common factor number .

Step-1: Prime Factorization of 42304

Prime factors of 42304 are 2, 661. Prime factorization of 42304 in exponential form is:

42304 = 2⁶ × 661¹

Step-2: Prime Factorization of 42312

Prime factors of 42312 are 2, 3, 41, 43. Prime factorization of 42312 in exponential form is:

42312 = 2³ × 3¹ × 41¹ × 43¹

Step-3: Factors of 42304

List of positive integer factors of 42304 that divides 42304 without a remainder.

1, 2, 4, 8, 16, 32, 64, 661, 1322, 2644, 5288, 10576, 21152

Step-4: Factors of 42312

List of positive integer factors of 42312 that divides 42304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 43, 82, 86, 123, 129, 164, 172, 246, 258, 328, 344, 492, 516, 984, 1032, 1763, 3526, 5289, 7052, 10578, 14104, 21156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42304 and 42312. The biggest common factor number is the GCF number.
So the greatest common factor 42304 and 42312 is 8.

Also check out the Least Common Multiple of 42304 and 42312