What is the Greatest Common Factor of 40160 and 40170?

Greatest common factor (GCF) of 40160 and 40170 is 10.

GCF(40160,40170) = 10

We will now calculate the prime factors of 40160 and 40170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40160 and 40170.

How to find the GCF of 40160 and 40170?

We will first find the prime factorization of 40160 and 40170. After we will calculate the factors of 40160 and 40170 and find the biggest common factor number .

Step-1: Prime Factorization of 40160

Prime factors of 40160 are 2, 5, 251. Prime factorization of 40160 in exponential form is:

40160 = 2⁵ × 5¹ × 251¹

Step-2: Prime Factorization of 40170

Prime factors of 40170 are 2, 3, 5, 13, 103. Prime factorization of 40170 in exponential form is:

40170 = 2¹ × 3¹ × 5¹ × 13¹ × 103¹

Step-3: Factors of 40160

List of positive integer factors of 40160 that divides 40160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080

Step-4: Factors of 40170

List of positive integer factors of 40170 that divides 40160 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40160 and 40170. The biggest common factor number is the GCF number.
So the greatest common factor 40160 and 40170 is 10.

Also check out the Least Common Multiple of 40160 and 40170