What is the Greatest Common Factor of 10142 and 10160?

Greatest common factor (GCF) of 10142 and 10160 is 2.

GCF(10142,10160) = 2

We will now calculate the prime factors of 10142 and 10160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10142 and 10160.

How to find the GCF of 10142 and 10160?

We will first find the prime factorization of 10142 and 10160. After we will calculate the factors of 10142 and 10160 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 10160

Prime factors of 10160 are 2, 5, 127. Prime factorization of 10160 in exponential form is:

10160 = 2⁴ × 5¹ × 127¹

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 10160

List of positive integer factors of 10160 that divides 10142 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10142 and 10160. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10160 is 2.

Also check out the Least Common Multiple of 10142 and 10160