What is the Greatest Common Factor of 40145 and 40160?

Greatest common factor (GCF) of 40145 and 40160 is 5.

GCF(40145,40160) = 5

We will now calculate the prime factors of 40145 and 40160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40145 and 40160.

How to find the GCF of 40145 and 40160?

We will first find the prime factorization of 40145 and 40160. After we will calculate the factors of 40145 and 40160 and find the biggest common factor number .

Step-1: Prime Factorization of 40145

Prime factors of 40145 are 5, 7, 31, 37. Prime factorization of 40145 in exponential form is:

40145 = 5¹ × 7¹ × 31¹ × 37¹

Step-2: 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-3: Factors of 40145

List of positive integer factors of 40145 that divides 40145 without a remainder.

1, 5, 7, 31, 35, 37, 155, 185, 217, 259, 1085, 1147, 1295, 5735, 8029

Step-4: Factors of 40160

List of positive integer factors of 40160 that divides 40145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40145 and 40160. The biggest common factor number is the GCF number.
So the greatest common factor 40145 and 40160 is 5.

Also check out the Least Common Multiple of 40145 and 40160