What is the Greatest Common Factor of 64170 and 64180?

Greatest common factor (GCF) of 64170 and 64180 is 10.

GCF(64170,64180) = 10

We will now calculate the prime factors of 64170 and 64180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64170 and 64180.

How to find the GCF of 64170 and 64180?

We will first find the prime factorization of 64170 and 64180. After we will calculate the factors of 64170 and 64180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64180

Prime factors of 64180 are 2, 5, 3209. Prime factorization of 64180 in exponential form is:

64180 = 2² × 5¹ × 3209¹

Step-3: Factors of 64170

List of positive integer factors of 64170 that divides 64170 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

Step-4: Factors of 64180

List of positive integer factors of 64180 that divides 64170 without a remainder.

1, 2, 4, 5, 10, 20, 3209, 6418, 12836, 16045, 32090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64170 and 64180. The biggest common factor number is the GCF number.
So the greatest common factor 64170 and 64180 is 10.

Also check out the Least Common Multiple of 64170 and 64180