What is the Greatest Common Factor of 82593 and 82612?

Greatest common factor (GCF) of 82593 and 82612 is 19.

GCF(82593,82612) = 19

We will now calculate the prime factors of 82593 and 82612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82593 and 82612.

How to find the GCF of 82593 and 82612?

We will first find the prime factorization of 82593 and 82612. After we will calculate the factors of 82593 and 82612 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82612

Prime factors of 82612 are 2, 19, 1087. Prime factorization of 82612 in exponential form is:

82612 = 2² × 19¹ × 1087¹

Step-3: Factors of 82593

List of positive integer factors of 82593 that divides 82593 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

Step-4: Factors of 82612

List of positive integer factors of 82612 that divides 82593 without a remainder.

1, 2, 4, 19, 38, 76, 1087, 2174, 4348, 20653, 41306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82593 and 82612. The biggest common factor number is the GCF number.
So the greatest common factor 82593 and 82612 is 19.

Also check out the Least Common Multiple of 82593 and 82612