What is the Greatest Common Factor of 64160 and 64170?

Greatest common factor (GCF) of 64160 and 64170 is 10.

GCF(64160,64170) = 10

We will now calculate the prime factors of 64160 and 64170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64160 and 64170.

How to find the GCF of 64160 and 64170?

We will first find the prime factorization of 64160 and 64170. After we will calculate the factors of 64160 and 64170 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 64170

Prime factors of 64170 are 2, 3, 5, 23, 31. Prime factorization of 64170 in exponential form is:

64170 = 2¹ × 3² × 5¹ × 23¹ × 31¹

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 64170

List of positive integer factors of 64170 that divides 64160 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 31, 45, 46, 62, 69, 90, 93, 115, 138, 155, 186, 207, 230, 279, 310, 345, 414, 465, 558, 690, 713, 930, 1035, 1395, 1426, 2070, 2139, 2790, 3565, 4278, 6417, 7130, 10695, 12834, 21390, 32085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64160 and 64170. The biggest common factor number is the GCF number.
So the greatest common factor 64160 and 64170 is 10.

Also check out the Least Common Multiple of 64160 and 64170