What is the Greatest Common Factor of 82485 and 82498?

Greatest common factor (GCF) of 82485 and 82498 is 13.

GCF(82485,82498) = 13

We will now calculate the prime factors of 82485 and 82498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82485 and 82498.

How to find the GCF of 82485 and 82498?

We will first find the prime factorization of 82485 and 82498. After we will calculate the factors of 82485 and 82498 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82498

Prime factors of 82498 are 2, 13, 19, 167. Prime factorization of 82498 in exponential form is:

82498 = 2¹ × 13¹ × 19¹ × 167¹

Step-3: Factors of 82485

List of positive integer factors of 82485 that divides 82485 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

Step-4: Factors of 82498

List of positive integer factors of 82498 that divides 82485 without a remainder.

1, 2, 13, 19, 26, 38, 167, 247, 334, 494, 2171, 3173, 4342, 6346, 41249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82485 and 82498. The biggest common factor number is the GCF number.
So the greatest common factor 82485 and 82498 is 13.

Also check out the Least Common Multiple of 82485 and 82498