What is the Greatest Common Factor of 42138 and 42148?

Greatest common factor (GCF) of 42138 and 42148 is 2.

GCF(42138,42148) = 2

We will now calculate the prime factors of 42138 and 42148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42138 and 42148.

How to find the GCF of 42138 and 42148?

We will first find the prime factorization of 42138 and 42148. After we will calculate the factors of 42138 and 42148 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 42148

Prime factors of 42148 are 2, 41, 257. Prime factorization of 42148 in exponential form is:

42148 = 2² × 41¹ × 257¹

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 42148

List of positive integer factors of 42148 that divides 42138 without a remainder.

1, 2, 4, 41, 82, 164, 257, 514, 1028, 10537, 21074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42138 and 42148. The biggest common factor number is the GCF number.
So the greatest common factor 42138 and 42148 is 2.

Also check out the Least Common Multiple of 42138 and 42148