What is the Greatest Common Factor of 40144 and 40160?

Greatest common factor (GCF) of 40144 and 40160 is 16.

GCF(40144,40160) = 16

We will now calculate the prime factors of 40144 and 40160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40144 and 40160.

How to find the GCF of 40144 and 40160?

We will first find the prime factorization of 40144 and 40160. After we will calculate the factors of 40144 and 40160 and find the biggest common factor number .

Step-1: Prime Factorization of 40144

Prime factors of 40144 are 2, 13, 193. Prime factorization of 40144 in exponential form is:

40144 = 2⁴ × 13¹ × 193¹

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 40144

List of positive integer factors of 40144 that divides 40144 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 193, 208, 386, 772, 1544, 2509, 3088, 5018, 10036, 20072

Step-4: Factors of 40160

List of positive integer factors of 40160 that divides 40144 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 40144 and 40160. The biggest common factor number is the GCF number.
So the greatest common factor 40144 and 40160 is 16.

Also check out the Least Common Multiple of 40144 and 40160