What is the Greatest Common Factor of 10160 and 10175?

Greatest common factor (GCF) of 10160 and 10175 is 5.

GCF(10160,10175) = 5

We will now calculate the prime factors of 10160 and 10175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10160 and 10175.

How to find the GCF of 10160 and 10175?

We will first find the prime factorization of 10160 and 10175. After we will calculate the factors of 10160 and 10175 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 10175

Prime factors of 10175 are 5, 11, 37. Prime factorization of 10175 in exponential form is:

10175 = 5² × 11¹ × 37¹

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 10175

List of positive integer factors of 10175 that divides 10160 without a remainder.

1, 5, 11, 25, 37, 55, 185, 275, 407, 925, 2035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10160 and 10175. The biggest common factor number is the GCF number.
So the greatest common factor 10160 and 10175 is 5.

Also check out the Least Common Multiple of 10160 and 10175