What is the Greatest Common Factor of 89505 and 89518?

Greatest common factor (GCF) of 89505 and 89518 is 13.

GCF(89505,89518) = 13

We will now calculate the prime factors of 89505 and 89518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89505 and 89518.

How to find the GCF of 89505 and 89518?

We will first find the prime factorization of 89505 and 89518. After we will calculate the factors of 89505 and 89518 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 89518

Prime factors of 89518 are 2, 11, 13, 313. Prime factorization of 89518 in exponential form is:

89518 = 2¹ × 11¹ × 13¹ × 313¹

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 89518

List of positive integer factors of 89518 that divides 89505 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 313, 626, 3443, 4069, 6886, 8138, 44759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89505 and 89518. The biggest common factor number is the GCF number.
So the greatest common factor 89505 and 89518 is 13.

Also check out the Least Common Multiple of 89505 and 89518