What is the Greatest Common Factor of 10160 and 10176?

Greatest common factor (GCF) of 10160 and 10176 is 16.

GCF(10160,10176) = 16

We will now calculate the prime factors of 10160 and 10176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10160 and 10176.

How to find the GCF of 10160 and 10176?

We will first find the prime factorization of 10160 and 10176. After we will calculate the factors of 10160 and 10176 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 10176

Prime factors of 10176 are 2, 3, 53. Prime factorization of 10176 in exponential form is:

10176 = 2⁶ × 3¹ × 53¹

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 10176

List of positive integer factors of 10176 that divides 10160 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 159, 192, 212, 318, 424, 636, 848, 1272, 1696, 2544, 3392, 5088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10160 and 10176. The biggest common factor number is the GCF number.
So the greatest common factor 10160 and 10176 is 16.

Also check out the Least Common Multiple of 10160 and 10176