What is the Greatest Common Factor of 10160 and 10170?

Greatest common factor (GCF) of 10160 and 10170 is 10.

GCF(10160,10170) = 10

We will now calculate the prime factors of 10160 and 10170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10160 and 10170.

How to find the GCF of 10160 and 10170?

We will first find the prime factorization of 10160 and 10170. After we will calculate the factors of 10160 and 10170 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 10170

Prime factors of 10170 are 2, 3, 5, 113. Prime factorization of 10170 in exponential form is:

10170 = 2¹ × 3² × 5¹ × 113¹

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 10170

List of positive integer factors of 10170 that divides 10160 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10160 and 10170. The biggest common factor number is the GCF number.
So the greatest common factor 10160 and 10170 is 10.

Also check out the Least Common Multiple of 10160 and 10170