What is the Greatest Common Factor of 64170 and 64184?

Greatest common factor (GCF) of 64170 and 64184 is 2.

GCF(64170,64184) = 2

We will now calculate the prime factors of 64170 and 64184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64170 and 64184.

How to find the GCF of 64170 and 64184?

We will first find the prime factorization of 64170 and 64184. After we will calculate the factors of 64170 and 64184 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 64184

Prime factors of 64184 are 2, 71, 113. Prime factorization of 64184 in exponential form is:

64184 = 2³ × 71¹ × 113¹

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 64184

List of positive integer factors of 64184 that divides 64170 without a remainder.

1, 2, 4, 8, 71, 113, 142, 226, 284, 452, 568, 904, 8023, 16046, 32092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64170 and 64184. The biggest common factor number is the GCF number.
So the greatest common factor 64170 and 64184 is 2.

Also check out the Least Common Multiple of 64170 and 64184