What is the Greatest Common Factor of 64160 and 64174?

Greatest common factor (GCF) of 64160 and 64174 is 2.

GCF(64160,64174) = 2

We will now calculate the prime factors of 64160 and 64174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64160 and 64174.

How to find the GCF of 64160 and 64174?

We will first find the prime factorization of 64160 and 64174. After we will calculate the factors of 64160 and 64174 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 64174

Prime factors of 64174 are 2, 11, 2917. Prime factorization of 64174 in exponential form is:

64174 = 2¹ × 11¹ × 2917¹

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 64174

List of positive integer factors of 64174 that divides 64160 without a remainder.

1, 2, 11, 22, 2917, 5834, 32087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64160 and 64174. The biggest common factor number is the GCF number.
So the greatest common factor 64160 and 64174 is 2.

Also check out the Least Common Multiple of 64160 and 64174