What is the Greatest Common Factor of 64484 and 64493?

Greatest common factor (GCF) of 64484 and 64493 is 1.

GCF(64484,64493) = 1

We will now calculate the prime factors of 64484 and 64493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64484 and 64493.

How to find the GCF of 64484 and 64493?

We will first find the prime factorization of 64484 and 64493. After we will calculate the factors of 64484 and 64493 and find the biggest common factor number .

Step-1: Prime Factorization of 64484

Prime factors of 64484 are 2, 7, 47. Prime factorization of 64484 in exponential form is:

64484 = 2² × 7³ × 47¹

Step-2: 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-3: Factors of 64484

List of positive integer factors of 64484 that divides 64484 without a remainder.

1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 343, 658, 686, 1316, 1372, 2303, 4606, 9212, 16121, 32242

Step-4: Factors of 64493

List of positive integer factors of 64493 that divides 64484 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64484 and 64493. The biggest common factor number is the GCF number.
So the greatest common factor 64484 and 64493 is 1.

Also check out the Least Common Multiple of 64484 and 64493