What is the Greatest Common Factor of 82517 and 82536?

Greatest common factor (GCF) of 82517 and 82536 is 19.

GCF(82517,82536) = 19

We will now calculate the prime factors of 82517 and 82536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82517 and 82536.

How to find the GCF of 82517 and 82536?

We will first find the prime factorization of 82517 and 82536. After we will calculate the factors of 82517 and 82536 and find the biggest common factor number .

Step-1: Prime Factorization of 82517

Prime factors of 82517 are 19, 43, 101. Prime factorization of 82517 in exponential form is:

82517 = 19¹ × 43¹ × 101¹

Step-2: Prime Factorization of 82536

Prime factors of 82536 are 2, 3, 19, 181. Prime factorization of 82536 in exponential form is:

82536 = 2³ × 3¹ × 19¹ × 181¹

Step-3: Factors of 82517

List of positive integer factors of 82517 that divides 82517 without a remainder.

1, 19, 43, 101, 817, 1919, 4343

Step-4: Factors of 82536

List of positive integer factors of 82536 that divides 82517 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 181, 228, 362, 456, 543, 724, 1086, 1448, 2172, 3439, 4344, 6878, 10317, 13756, 20634, 27512, 41268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82517 and 82536. The biggest common factor number is the GCF number.
So the greatest common factor 82517 and 82536 is 19.

Also check out the Least Common Multiple of 82517 and 82536