What is the Greatest Common Factor of 42864 and 42872?

Greatest common factor (GCF) of 42864 and 42872 is 8.

GCF(42864,42872) = 8

We will now calculate the prime factors of 42864 and 42872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42864 and 42872.

How to find the GCF of 42864 and 42872?

We will first find the prime factorization of 42864 and 42872. After we will calculate the factors of 42864 and 42872 and find the biggest common factor number .

Step-1: Prime Factorization of 42864

Prime factors of 42864 are 2, 3, 19, 47. Prime factorization of 42864 in exponential form is:

42864 = 2⁴ × 3¹ × 19¹ × 47¹

Step-2: Prime Factorization of 42872

Prime factors of 42872 are 2, 23, 233. Prime factorization of 42872 in exponential form is:

42872 = 2³ × 23¹ × 233¹

Step-3: Factors of 42864

List of positive integer factors of 42864 that divides 42864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 47, 48, 57, 76, 94, 114, 141, 152, 188, 228, 282, 304, 376, 456, 564, 752, 893, 912, 1128, 1786, 2256, 2679, 3572, 5358, 7144, 10716, 14288, 21432

Step-4: Factors of 42872

List of positive integer factors of 42872 that divides 42864 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 233, 466, 932, 1864, 5359, 10718, 21436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42864 and 42872. The biggest common factor number is the GCF number.
So the greatest common factor 42864 and 42872 is 8.

Also check out the Least Common Multiple of 42864 and 42872