What is the Greatest Common Factor of 64493 and 64504?

Greatest common factor (GCF) of 64493 and 64504 is 11.

GCF(64493,64504) = 11

We will now calculate the prime factors of 64493 and 64504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64493 and 64504.

How to find the GCF of 64493 and 64504?

We will first find the prime factorization of 64493 and 64504. After we will calculate the factors of 64493 and 64504 and find the biggest common factor number .

Step-1: Prime Factorization of 64493

Prime factors of 64493 are 11, 13, 41. Prime factorization of 64493 in exponential form is:

64493 = 11² × 13¹ × 41¹

Step-2: Prime Factorization of 64504

Prime factors of 64504 are 2, 11, 733. Prime factorization of 64504 in exponential form is:

64504 = 2³ × 11¹ × 733¹

Step-3: Factors of 64493

List of positive integer factors of 64493 that divides 64493 without a remainder.

1, 11, 13, 41, 121, 143, 451, 533, 1573, 4961, 5863

Step-4: Factors of 64504

List of positive integer factors of 64504 that divides 64493 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 733, 1466, 2932, 5864, 8063, 16126, 32252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64493 and 64504. The biggest common factor number is the GCF number.
So the greatest common factor 64493 and 64504 is 11.

Also check out the Least Common Multiple of 64493 and 64504