What is the Greatest Common Factor of 65443 and 65457?

Greatest common factor (GCF) of 65443 and 65457 is 7.

GCF(65443,65457) = 7

We will now calculate the prime factors of 65443 and 65457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65443 and 65457.

How to find the GCF of 65443 and 65457?

We will first find the prime factorization of 65443 and 65457. After we will calculate the factors of 65443 and 65457 and find the biggest common factor number .

Step-1: Prime Factorization of 65443

Prime factors of 65443 are 7, 9349. Prime factorization of 65443 in exponential form is:

65443 = 7¹ × 9349¹

Step-2: Prime Factorization of 65457

Prime factors of 65457 are 3, 7, 1039. Prime factorization of 65457 in exponential form is:

65457 = 3² × 7¹ × 1039¹

Step-3: Factors of 65443

List of positive integer factors of 65443 that divides 65443 without a remainder.

1, 7, 9349

Step-4: Factors of 65457

List of positive integer factors of 65457 that divides 65443 without a remainder.

1, 3, 7, 9, 21, 63, 1039, 3117, 7273, 9351, 21819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65443 and 65457. The biggest common factor number is the GCF number.
So the greatest common factor 65443 and 65457 is 7.

Also check out the Least Common Multiple of 65443 and 65457