What is the Greatest Common Factor of 42858 and 42864?

Greatest common factor (GCF) of 42858 and 42864 is 6.

GCF(42858,42864) = 6

We will now calculate the prime factors of 42858 and 42864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42858 and 42864.

How to find the GCF of 42858 and 42864?

We will first find the prime factorization of 42858 and 42864. After we will calculate the factors of 42858 and 42864 and find the biggest common factor number .

Step-1: Prime Factorization of 42858

Prime factors of 42858 are 2, 3, 2381. Prime factorization of 42858 in exponential form is:

42858 = 2¹ × 3² × 2381¹

Step-2: 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-3: Factors of 42858

List of positive integer factors of 42858 that divides 42858 without a remainder.

1, 2, 3, 6, 9, 18, 2381, 4762, 7143, 14286, 21429

Step-4: Factors of 42864

List of positive integer factors of 42864 that divides 42858 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42858 and 42864. The biggest common factor number is the GCF number.
So the greatest common factor 42858 and 42864 is 6.

Also check out the Least Common Multiple of 42858 and 42864