What is the Greatest Common Factor of 42859 and 42864?

Greatest common factor (GCF) of 42859 and 42864 is 1.

GCF(42859,42864) = 1

We will now calculate the prime factors of 42859 and 42864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42859 and 42864.

How to find the GCF of 42859 and 42864?

We will first find the prime factorization of 42859 and 42864. After we will calculate the factors of 42859 and 42864 and find the biggest common factor number .

Step-1: Prime Factorization of 42859

Prime factors of 42859 are 42859. Prime factorization of 42859 in exponential form is:

42859 = 42859¹

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 42859

List of positive integer factors of 42859 that divides 42859 without a remainder.

Step-4: Factors of 42864

List of positive integer factors of 42864 that divides 42859 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 42859 and 42864. The biggest common factor number is the GCF number.
So the greatest common factor 42859 and 42864 is 1.

Also check out the Least Common Multiple of 42859 and 42864