What is the Greatest Common Factor of 42138 and 42153?

Greatest common factor (GCF) of 42138 and 42153 is 3.

GCF(42138,42153) = 3

We will now calculate the prime factors of 42138 and 42153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42138 and 42153.

How to find the GCF of 42138 and 42153?

We will first find the prime factorization of 42138 and 42153. After we will calculate the factors of 42138 and 42153 and find the biggest common factor number .

Step-1: Prime Factorization of 42138

Prime factors of 42138 are 2, 3, 2341. Prime factorization of 42138 in exponential form is:

42138 = 2¹ × 3² × 2341¹

Step-2: Prime Factorization of 42153

Prime factors of 42153 are 3, 14051. Prime factorization of 42153 in exponential form is:

42153 = 3¹ × 14051¹

Step-3: Factors of 42138

List of positive integer factors of 42138 that divides 42138 without a remainder.

1, 2, 3, 6, 9, 18, 2341, 4682, 7023, 14046, 21069

Step-4: Factors of 42153

List of positive integer factors of 42153 that divides 42138 without a remainder.

1, 3, 14051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42138 and 42153. The biggest common factor number is the GCF number.
So the greatest common factor 42138 and 42153 is 3.

Also check out the Least Common Multiple of 42138 and 42153