What is the Greatest Common Factor of 42148 and 42163?

Greatest common factor (GCF) of 42148 and 42163 is 1.

GCF(42148,42163) = 1

We will now calculate the prime factors of 42148 and 42163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42148 and 42163.

How to find the GCF of 42148 and 42163?

We will first find the prime factorization of 42148 and 42163. After we will calculate the factors of 42148 and 42163 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42163

Prime factors of 42163 are 11, 3833. Prime factorization of 42163 in exponential form is:

42163 = 11¹ × 3833¹

Step-3: Factors of 42148

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

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

Step-4: Factors of 42163

List of positive integer factors of 42163 that divides 42148 without a remainder.

1, 11, 3833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42148 and 42163. The biggest common factor number is the GCF number.
So the greatest common factor 42148 and 42163 is 1.

Also check out the Least Common Multiple of 42148 and 42163