What is the Greatest Common Factor of 42148 and 42165?

Greatest common factor (GCF) of 42148 and 42165 is 1.

GCF(42148,42165) = 1

We will now calculate the prime factors of 42148 and 42165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42148 and 42165.

How to find the GCF of 42148 and 42165?

We will first find the prime factorization of 42148 and 42165. After we will calculate the factors of 42148 and 42165 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 42165

Prime factors of 42165 are 3, 5, 937. Prime factorization of 42165 in exponential form is:

42165 = 3² × 5¹ × 937¹

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 42165

List of positive integer factors of 42165 that divides 42148 without a remainder.

1, 3, 5, 9, 15, 45, 937, 2811, 4685, 8433, 14055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42148 and 42165. The biggest common factor number is the GCF number.
So the greatest common factor 42148 and 42165 is 1.

Also check out the Least Common Multiple of 42148 and 42165