What is the Greatest Common Factor of 42864 and 42870?

Greatest common factor (GCF) of 42864 and 42870 is 6.

GCF(42864,42870) = 6

We will now calculate the prime factors of 42864 and 42870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42864 and 42870.

How to find the GCF of 42864 and 42870?

We will first find the prime factorization of 42864 and 42870. After we will calculate the factors of 42864 and 42870 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 42870

Prime factors of 42870 are 2, 3, 5, 1429. Prime factorization of 42870 in exponential form is:

42870 = 2¹ × 3¹ × 5¹ × 1429¹

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 42870

List of positive integer factors of 42870 that divides 42864 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1429, 2858, 4287, 7145, 8574, 14290, 21435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42864 and 42870. The biggest common factor number is the GCF number.
So the greatest common factor 42864 and 42870 is 6.

Also check out the Least Common Multiple of 42864 and 42870