What is the Greatest Common Factor of 10138 and 10142?

Greatest common factor (GCF) of 10138 and 10142 is 2.

GCF(10138,10142) = 2

We will now calculate the prime factors of 10138 and 10142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10138 and 10142.

How to find the GCF of 10138 and 10142?

We will first find the prime factorization of 10138 and 10142. After we will calculate the factors of 10138 and 10142 and find the biggest common factor number .

Step-1: Prime Factorization of 10138

Prime factors of 10138 are 2, 37, 137. Prime factorization of 10138 in exponential form is:

10138 = 2¹ × 37¹ × 137¹

Step-2: 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-3: Factors of 10138

List of positive integer factors of 10138 that divides 10138 without a remainder.

1, 2, 37, 74, 137, 274, 5069

Step-4: Factors of 10142

List of positive integer factors of 10142 that divides 10138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10138 and 10142. The biggest common factor number is the GCF number.
So the greatest common factor 10138 and 10142 is 2.

Also check out the Least Common Multiple of 10138 and 10142