What is the Greatest Common Factor of 82586 and 82593?

Greatest common factor (GCF) of 82586 and 82593 is 7.

GCF(82586,82593) = 7

We will now calculate the prime factors of 82586 and 82593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82586 and 82593.

How to find the GCF of 82586 and 82593?

We will first find the prime factorization of 82586 and 82593. After we will calculate the factors of 82586 and 82593 and find the biggest common factor number .

Step-1: Prime Factorization of 82586

Prime factors of 82586 are 2, 7, 17, 347. Prime factorization of 82586 in exponential form is:

82586 = 2¹ × 7¹ × 17¹ × 347¹

Step-2: Prime Factorization of 82593

Prime factors of 82593 are 3, 7, 19, 23. Prime factorization of 82593 in exponential form is:

82593 = 3³ × 7¹ × 19¹ × 23¹

Step-3: Factors of 82586

List of positive integer factors of 82586 that divides 82586 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 347, 694, 2429, 4858, 5899, 11798, 41293

Step-4: Factors of 82593

List of positive integer factors of 82593 that divides 82586 without a remainder.

1, 3, 7, 9, 19, 21, 23, 27, 57, 63, 69, 133, 161, 171, 189, 207, 399, 437, 483, 513, 621, 1197, 1311, 1449, 3059, 3591, 3933, 4347, 9177, 11799, 27531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82586 and 82593. The biggest common factor number is the GCF number.
So the greatest common factor 82586 and 82593 is 7.

Also check out the Least Common Multiple of 82586 and 82593