What is the Greatest Common Factor of 42050 and 42054?

Greatest common factor (GCF) of 42050 and 42054 is 2.

GCF(42050,42054) = 2

We will now calculate the prime factors of 42050 and 42054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42050 and 42054.

How to find the GCF of 42050 and 42054?

We will first find the prime factorization of 42050 and 42054. After we will calculate the factors of 42050 and 42054 and find the biggest common factor number .

Step-1: Prime Factorization of 42050

Prime factors of 42050 are 2, 5, 29. Prime factorization of 42050 in exponential form is:

42050 = 2¹ × 5² × 29²

Step-2: Prime Factorization of 42054

Prime factors of 42054 are 2, 3, 43, 163. Prime factorization of 42054 in exponential form is:

42054 = 2¹ × 3¹ × 43¹ × 163¹

Step-3: Factors of 42050

List of positive integer factors of 42050 that divides 42050 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 841, 1450, 1682, 4205, 8410, 21025

Step-4: Factors of 42054

List of positive integer factors of 42054 that divides 42050 without a remainder.

1, 2, 3, 6, 43, 86, 129, 163, 258, 326, 489, 978, 7009, 14018, 21027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42050 and 42054. The biggest common factor number is the GCF number.
So the greatest common factor 42050 and 42054 is 2.

Also check out the Least Common Multiple of 42050 and 42054