What is the Greatest Common Factor of 64160 and 64165?

Greatest common factor (GCF) of 64160 and 64165 is 5.

GCF(64160,64165) = 5

We will now calculate the prime factors of 64160 and 64165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64160 and 64165.

How to find the GCF of 64160 and 64165?

We will first find the prime factorization of 64160 and 64165. After we will calculate the factors of 64160 and 64165 and find the biggest common factor number .

Step-1: Prime Factorization of 64160

Prime factors of 64160 are 2, 5, 401. Prime factorization of 64160 in exponential form is:

64160 = 2⁵ × 5¹ × 401¹

Step-2: Prime Factorization of 64165

Prime factors of 64165 are 5, 41, 313. Prime factorization of 64165 in exponential form is:

64165 = 5¹ × 41¹ × 313¹

Step-3: Factors of 64160

List of positive integer factors of 64160 that divides 64160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 401, 802, 1604, 2005, 3208, 4010, 6416, 8020, 12832, 16040, 32080

Step-4: Factors of 64165

List of positive integer factors of 64165 that divides 64160 without a remainder.

1, 5, 41, 205, 313, 1565, 12833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64160 and 64165. The biggest common factor number is the GCF number.
So the greatest common factor 64160 and 64165 is 5.

Also check out the Least Common Multiple of 64160 and 64165