What is the Greatest Common Factor of 42144 and 42159?

Greatest common factor (GCF) of 42144 and 42159 is 3.

GCF(42144,42159) = 3

We will now calculate the prime factors of 42144 and 42159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42144 and 42159.

How to find the GCF of 42144 and 42159?

We will first find the prime factorization of 42144 and 42159. After we will calculate the factors of 42144 and 42159 and find the biggest common factor number .

Step-1: Prime Factorization of 42144

Prime factors of 42144 are 2, 3, 439. Prime factorization of 42144 in exponential form is:

42144 = 2⁵ × 3¹ × 439¹

Step-2: Prime Factorization of 42159

Prime factors of 42159 are 3, 13, 23, 47. Prime factorization of 42159 in exponential form is:

42159 = 3¹ × 13¹ × 23¹ × 47¹

Step-3: Factors of 42144

List of positive integer factors of 42144 that divides 42144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 439, 878, 1317, 1756, 2634, 3512, 5268, 7024, 10536, 14048, 21072

Step-4: Factors of 42159

List of positive integer factors of 42159 that divides 42144 without a remainder.

1, 3, 13, 23, 39, 47, 69, 141, 299, 611, 897, 1081, 1833, 3243, 14053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42144 and 42159. The biggest common factor number is the GCF number.
So the greatest common factor 42144 and 42159 is 3.

Also check out the Least Common Multiple of 42144 and 42159