What is the Greatest Common Factor of 82574 and 82593?

Greatest common factor (GCF) of 82574 and 82593 is 19.

GCF(82574,82593) = 19

We will now calculate the prime factors of 82574 and 82593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82574 and 82593.

How to find the GCF of 82574 and 82593?

We will first find the prime factorization of 82574 and 82593. After we will calculate the factors of 82574 and 82593 and find the biggest common factor number .

Step-1: Prime Factorization of 82574

Prime factors of 82574 are 2, 19, 41, 53. Prime factorization of 82574 in exponential form is:

82574 = 2¹ × 19¹ × 41¹ × 53¹

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 82574

List of positive integer factors of 82574 that divides 82574 without a remainder.

1, 2, 19, 38, 41, 53, 82, 106, 779, 1007, 1558, 2014, 2173, 4346, 41287

Step-4: Factors of 82593

List of positive integer factors of 82593 that divides 82574 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 82574 and 82593. The biggest common factor number is the GCF number.
So the greatest common factor 82574 and 82593 is 19.

Also check out the Least Common Multiple of 82574 and 82593