What is the Greatest Common Factor of 83505 and 83517?

Greatest common factor (GCF) of 83505 and 83517 is 3.

GCF(83505,83517) = 3

We will now calculate the prime factors of 83505 and 83517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83505 and 83517.

How to find the GCF of 83505 and 83517?

We will first find the prime factorization of 83505 and 83517. After we will calculate the factors of 83505 and 83517 and find the biggest common factor number .

Step-1: Prime Factorization of 83505

Prime factors of 83505 are 3, 5, 19, 293. Prime factorization of 83505 in exponential form is:

83505 = 3¹ × 5¹ × 19¹ × 293¹

Step-2: Prime Factorization of 83517

Prime factors of 83517 are 3, 7, 41, 97. Prime factorization of 83517 in exponential form is:

83517 = 3¹ × 7¹ × 41¹ × 97¹

Step-3: Factors of 83505

List of positive integer factors of 83505 that divides 83505 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 293, 879, 1465, 4395, 5567, 16701, 27835

Step-4: Factors of 83517

List of positive integer factors of 83517 that divides 83505 without a remainder.

1, 3, 7, 21, 41, 97, 123, 287, 291, 679, 861, 2037, 3977, 11931, 27839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83505 and 83517. The biggest common factor number is the GCF number.
So the greatest common factor 83505 and 83517 is 3.

Also check out the Least Common Multiple of 83505 and 83517