What is the Greatest Common Factor of 82473 and 82485?

Greatest common factor (GCF) of 82473 and 82485 is 3.

GCF(82473,82485) = 3

We will now calculate the prime factors of 82473 and 82485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82473 and 82485.

How to find the GCF of 82473 and 82485?

We will first find the prime factorization of 82473 and 82485. After we will calculate the factors of 82473 and 82485 and find the biggest common factor number .

Step-1: Prime Factorization of 82473

Prime factors of 82473 are 3, 37, 743. Prime factorization of 82473 in exponential form is:

82473 = 3¹ × 37¹ × 743¹

Step-2: Prime Factorization of 82485

Prime factors of 82485 are 3, 5, 13, 47. Prime factorization of 82485 in exponential form is:

82485 = 3³ × 5¹ × 13¹ × 47¹

Step-3: Factors of 82473

List of positive integer factors of 82473 that divides 82473 without a remainder.

1, 3, 37, 111, 743, 2229, 27491

Step-4: Factors of 82485

List of positive integer factors of 82485 that divides 82473 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 47, 65, 117, 135, 141, 195, 235, 351, 423, 585, 611, 705, 1269, 1755, 1833, 2115, 3055, 5499, 6345, 9165, 16497, 27495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82473 and 82485. The biggest common factor number is the GCF number.
So the greatest common factor 82473 and 82485 is 3.

Also check out the Least Common Multiple of 82473 and 82485