What is the Greatest Common Factor of 10160 and 10174?

Greatest common factor (GCF) of 10160 and 10174 is 2.

GCF(10160,10174) = 2

We will now calculate the prime factors of 10160 and 10174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10160 and 10174.

How to find the GCF of 10160 and 10174?

We will first find the prime factorization of 10160 and 10174. After we will calculate the factors of 10160 and 10174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10174

Prime factors of 10174 are 2, 5087. Prime factorization of 10174 in exponential form is:

10174 = 2¹ × 5087¹

Step-3: Factors of 10160

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

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

Step-4: Factors of 10174

List of positive integer factors of 10174 that divides 10160 without a remainder.

1, 2, 5087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10160 and 10174. The biggest common factor number is the GCF number.
So the greatest common factor 10160 and 10174 is 2.

Also check out the Least Common Multiple of 10160 and 10174