What is the Greatest Common Factor of 64386 and 64401?

Greatest common factor (GCF) of 64386 and 64401 is 3.

GCF(64386,64401) = 3

We will now calculate the prime factors of 64386 and 64401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64386 and 64401.

How to find the GCF of 64386 and 64401?

We will first find the prime factorization of 64386 and 64401. After we will calculate the factors of 64386 and 64401 and find the biggest common factor number .

Step-1: Prime Factorization of 64386

Prime factors of 64386 are 2, 3, 7, 73. Prime factorization of 64386 in exponential form is:

64386 = 2¹ × 3² × 7² × 73¹

Step-2: Prime Factorization of 64401

Prime factors of 64401 are 3, 21467. Prime factorization of 64401 in exponential form is:

64401 = 3¹ × 21467¹

Step-3: Factors of 64386

List of positive integer factors of 64386 that divides 64386 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 73, 98, 126, 146, 147, 219, 294, 438, 441, 511, 657, 882, 1022, 1314, 1533, 3066, 3577, 4599, 7154, 9198, 10731, 21462, 32193

Step-4: Factors of 64401

List of positive integer factors of 64401 that divides 64386 without a remainder.

1, 3, 21467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64386 and 64401. The biggest common factor number is the GCF number.
So the greatest common factor 64386 and 64401 is 3.

Also check out the Least Common Multiple of 64386 and 64401