What is the Greatest Common Factor of 82459 and 82472?

Greatest common factor (GCF) of 82459 and 82472 is 13.

GCF(82459,82472) = 13

We will now calculate the prime factors of 82459 and 82472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82459 and 82472.

How to find the GCF of 82459 and 82472?

We will first find the prime factorization of 82459 and 82472. After we will calculate the factors of 82459 and 82472 and find the biggest common factor number .

Step-1: Prime Factorization of 82459

Prime factors of 82459 are 13, 6343. Prime factorization of 82459 in exponential form is:

82459 = 13¹ × 6343¹

Step-2: Prime Factorization of 82472

Prime factors of 82472 are 2, 13, 61. Prime factorization of 82472 in exponential form is:

82472 = 2³ × 13² × 61¹

Step-3: Factors of 82459

List of positive integer factors of 82459 that divides 82459 without a remainder.

1, 13, 6343

Step-4: Factors of 82472

List of positive integer factors of 82472 that divides 82459 without a remainder.

1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 169, 244, 338, 488, 676, 793, 1352, 1586, 3172, 6344, 10309, 20618, 41236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82459 and 82472. The biggest common factor number is the GCF number.
So the greatest common factor 82459 and 82472 is 13.

Also check out the Least Common Multiple of 82459 and 82472