What is the Greatest Common Factor of 89505 and 89517?

Greatest common factor (GCF) of 89505 and 89517 is 3.

GCF(89505,89517) = 3

We will now calculate the prime factors of 89505 and 89517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89505 and 89517.

How to find the GCF of 89505 and 89517?

We will first find the prime factorization of 89505 and 89517. After we will calculate the factors of 89505 and 89517 and find the biggest common factor number .

Step-1: Prime Factorization of 89505

Prime factors of 89505 are 3, 5, 13, 17. Prime factorization of 89505 in exponential form is:

89505 = 3⁴ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 89517

Prime factors of 89517 are 3, 53, 563. Prime factorization of 89517 in exponential form is:

89517 = 3¹ × 53¹ × 563¹

Step-3: Factors of 89505

List of positive integer factors of 89505 that divides 89505 without a remainder.

1, 3, 5, 9, 13, 15, 17, 27, 39, 45, 51, 65, 81, 85, 117, 135, 153, 195, 221, 255, 351, 405, 459, 585, 663, 765, 1053, 1105, 1377, 1755, 1989, 2295, 3315, 5265, 5967, 6885, 9945, 17901, 29835

Step-4: Factors of 89517

List of positive integer factors of 89517 that divides 89505 without a remainder.

1, 3, 53, 159, 563, 1689, 29839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89505 and 89517. The biggest common factor number is the GCF number.
So the greatest common factor 89505 and 89517 is 3.

Also check out the Least Common Multiple of 89505 and 89517