What is the Greatest Common Factor of 42142 and 42161?

Greatest common factor (GCF) of 42142 and 42161 is 19.

GCF(42142,42161) = 19

We will now calculate the prime factors of 42142 and 42161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42142 and 42161.

How to find the GCF of 42142 and 42161?

We will first find the prime factorization of 42142 and 42161. After we will calculate the factors of 42142 and 42161 and find the biggest common factor number .

Step-1: Prime Factorization of 42142

Prime factors of 42142 are 2, 19, 1109. Prime factorization of 42142 in exponential form is:

42142 = 2¹ × 19¹ × 1109¹

Step-2: Prime Factorization of 42161

Prime factors of 42161 are 7, 19, 317. Prime factorization of 42161 in exponential form is:

42161 = 7¹ × 19¹ × 317¹

Step-3: Factors of 42142

List of positive integer factors of 42142 that divides 42142 without a remainder.

1, 2, 19, 38, 1109, 2218, 21071

Step-4: Factors of 42161

List of positive integer factors of 42161 that divides 42142 without a remainder.

1, 7, 19, 133, 317, 2219, 6023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42142 and 42161. The biggest common factor number is the GCF number.
So the greatest common factor 42142 and 42161 is 19.

Also check out the Least Common Multiple of 42142 and 42161