What is the Greatest Common Factor of 42148 and 42157?

Greatest common factor (GCF) of 42148 and 42157 is 1.

GCF(42148,42157) = 1

We will now calculate the prime factors of 42148 and 42157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42148 and 42157.

How to find the GCF of 42148 and 42157?

We will first find the prime factorization of 42148 and 42157. After we will calculate the factors of 42148 and 42157 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 42157

Prime factors of 42157 are 42157. Prime factorization of 42157 in exponential form is:

42157 = 42157¹

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 42157

List of positive integer factors of 42157 that divides 42148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42148 and 42157. The biggest common factor number is the GCF number.
So the greatest common factor 42148 and 42157 is 1.

Also check out the Least Common Multiple of 42148 and 42157