What is the Greatest Common Factor of 42144 and 42162?

Greatest common factor (GCF) of 42144 and 42162 is 6.

GCF(42144,42162) = 6

We will now calculate the prime factors of 42144 and 42162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42144 and 42162.

How to find the GCF of 42144 and 42162?

We will first find the prime factorization of 42144 and 42162. After we will calculate the factors of 42144 and 42162 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 42162

Prime factors of 42162 are 2, 3, 7027. Prime factorization of 42162 in exponential form is:

42162 = 2¹ × 3¹ × 7027¹

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 42162

List of positive integer factors of 42162 that divides 42144 without a remainder.

1, 2, 3, 6, 7027, 14054, 21081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42144 and 42162. The biggest common factor number is the GCF number.
So the greatest common factor 42144 and 42162 is 6.

Also check out the Least Common Multiple of 42144 and 42162