What is the Greatest Common Factor of 42860 and 42864?

Greatest common factor (GCF) of 42860 and 42864 is 4.

GCF(42860,42864) = 4

We will now calculate the prime factors of 42860 and 42864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42860 and 42864.

How to find the GCF of 42860 and 42864?

We will first find the prime factorization of 42860 and 42864. After we will calculate the factors of 42860 and 42864 and find the biggest common factor number .

Step-1: Prime Factorization of 42860

Prime factors of 42860 are 2, 5, 2143. Prime factorization of 42860 in exponential form is:

42860 = 2² × 5¹ × 2143¹

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 42860

List of positive integer factors of 42860 that divides 42860 without a remainder.

1, 2, 4, 5, 10, 20, 2143, 4286, 8572, 10715, 21430

Step-4: Factors of 42864

List of positive integer factors of 42864 that divides 42860 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 42860 and 42864. The biggest common factor number is the GCF number.
So the greatest common factor 42860 and 42864 is 4.

Also check out the Least Common Multiple of 42860 and 42864