What is the Greatest Common Factor of 10142 and 10161?

Greatest common factor (GCF) of 10142 and 10161 is 1.

GCF(10142,10161) = 1

We will now calculate the prime factors of 10142 and 10161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10142 and 10161.

How to find the GCF of 10142 and 10161?

We will first find the prime factorization of 10142 and 10161. After we will calculate the factors of 10142 and 10161 and find the biggest common factor number .

Step-1: Prime Factorization of 10142

Prime factors of 10142 are 2, 11, 461. Prime factorization of 10142 in exponential form is:

10142 = 2¹ × 11¹ × 461¹

Step-2: Prime Factorization of 10161

Prime factors of 10161 are 3, 1129. Prime factorization of 10161 in exponential form is:

10161 = 3² × 1129¹

Step-3: Factors of 10142

List of positive integer factors of 10142 that divides 10142 without a remainder.

1, 2, 11, 22, 461, 922, 5071

Step-4: Factors of 10161

List of positive integer factors of 10161 that divides 10142 without a remainder.

1, 3, 9, 1129, 3387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10142 and 10161. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10161 is 1.

Also check out the Least Common Multiple of 10142 and 10161