What is the Greatest Common Factor of 64805 and 64818?

Greatest common factor (GCF) of 64805 and 64818 is 13.

GCF(64805,64818) = 13

We will now calculate the prime factors of 64805 and 64818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64805 and 64818.

How to find the GCF of 64805 and 64818?

We will first find the prime factorization of 64805 and 64818. After we will calculate the factors of 64805 and 64818 and find the biggest common factor number .

Step-1: Prime Factorization of 64805

Prime factors of 64805 are 5, 13, 997. Prime factorization of 64805 in exponential form is:

64805 = 5¹ × 13¹ × 997¹

Step-2: Prime Factorization of 64818

Prime factors of 64818 are 2, 3, 13, 277. Prime factorization of 64818 in exponential form is:

64818 = 2¹ × 3² × 13¹ × 277¹

Step-3: Factors of 64805

List of positive integer factors of 64805 that divides 64805 without a remainder.

1, 5, 13, 65, 997, 4985, 12961

Step-4: Factors of 64818

List of positive integer factors of 64818 that divides 64805 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 277, 554, 831, 1662, 2493, 3601, 4986, 7202, 10803, 21606, 32409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64805 and 64818. The biggest common factor number is the GCF number.
So the greatest common factor 64805 and 64818 is 13.

Also check out the Least Common Multiple of 64805 and 64818