What is the Greatest Common Factor of 10138 and 10150?

Greatest common factor (GCF) of 10138 and 10150 is 2.

GCF(10138,10150) = 2

We will now calculate the prime factors of 10138 and 10150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10138 and 10150.

How to find the GCF of 10138 and 10150?

We will first find the prime factorization of 10138 and 10150. After we will calculate the factors of 10138 and 10150 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 10150

Prime factors of 10150 are 2, 5, 7, 29. Prime factorization of 10150 in exponential form is:

10150 = 2¹ × 5² × 7¹ × 29¹

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 10150

List of positive integer factors of 10150 that divides 10138 without a remainder.

1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10138 and 10150. The biggest common factor number is the GCF number.
So the greatest common factor 10138 and 10150 is 2.

Also check out the Least Common Multiple of 10138 and 10150