What is the Greatest Common Factor of 81433 and 81444?

Greatest common factor (GCF) of 81433 and 81444 is 11.

GCF(81433,81444) = 11

We will now calculate the prime factors of 81433 and 81444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81433 and 81444.

How to find the GCF of 81433 and 81444?

We will first find the prime factorization of 81433 and 81444. After we will calculate the factors of 81433 and 81444 and find the biggest common factor number .

Step-1: Prime Factorization of 81433

Prime factors of 81433 are 11, 673. Prime factorization of 81433 in exponential form is:

81433 = 11² × 673¹

Step-2: Prime Factorization of 81444

Prime factors of 81444 are 2, 3, 11, 617. Prime factorization of 81444 in exponential form is:

81444 = 2² × 3¹ × 11¹ × 617¹

Step-3: Factors of 81433

List of positive integer factors of 81433 that divides 81433 without a remainder.

1, 11, 121, 673, 7403

Step-4: Factors of 81444

List of positive integer factors of 81444 that divides 81433 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 617, 1234, 1851, 2468, 3702, 6787, 7404, 13574, 20361, 27148, 40722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81433 and 81444. The biggest common factor number is the GCF number.
So the greatest common factor 81433 and 81444 is 11.

Also check out the Least Common Multiple of 81433 and 81444