What is the Greatest Common Factor of 82743 and 82755?

Greatest common factor (GCF) of 82743 and 82755 is 3.

GCF(82743,82755) = 3

We will now calculate the prime factors of 82743 and 82755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82743 and 82755.

How to find the GCF of 82743 and 82755?

We will first find the prime factorization of 82743 and 82755. After we will calculate the factors of 82743 and 82755 and find the biggest common factor number .

Step-1: Prime Factorization of 82743

Prime factors of 82743 are 3, 27581. Prime factorization of 82743 in exponential form is:

82743 = 3¹ × 27581¹

Step-2: Prime Factorization of 82755

Prime factors of 82755 are 3, 5, 613. Prime factorization of 82755 in exponential form is:

82755 = 3³ × 5¹ × 613¹

Step-3: Factors of 82743

List of positive integer factors of 82743 that divides 82743 without a remainder.

1, 3, 27581

Step-4: Factors of 82755

List of positive integer factors of 82755 that divides 82743 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 613, 1839, 3065, 5517, 9195, 16551, 27585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82743 and 82755. The biggest common factor number is the GCF number.
So the greatest common factor 82743 and 82755 is 3.

Also check out the Least Common Multiple of 82743 and 82755