What is the Greatest Common Factor of 42144 and 42150?

Greatest common factor (GCF) of 42144 and 42150 is 6.

GCF(42144,42150) = 6

We will now calculate the prime factors of 42144 and 42150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42144 and 42150.

How to find the GCF of 42144 and 42150?

We will first find the prime factorization of 42144 and 42150. After we will calculate the factors of 42144 and 42150 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 42150

Prime factors of 42150 are 2, 3, 5, 281. Prime factorization of 42150 in exponential form is:

42150 = 2¹ × 3¹ × 5² × 281¹

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 42150

List of positive integer factors of 42150 that divides 42144 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 281, 562, 843, 1405, 1686, 2810, 4215, 7025, 8430, 14050, 21075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42144 and 42150. The biggest common factor number is the GCF number.
So the greatest common factor 42144 and 42150 is 6.

Also check out the Least Common Multiple of 42144 and 42150