What is the Greatest Common Factor of 89505 and 89510?

Greatest common factor (GCF) of 89505 and 89510 is 5.

GCF(89505,89510) = 5

We will now calculate the prime factors of 89505 and 89510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89505 and 89510.

How to find the GCF of 89505 and 89510?

We will first find the prime factorization of 89505 and 89510. After we will calculate the factors of 89505 and 89510 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 89510

Prime factors of 89510 are 2, 5, 8951. Prime factorization of 89510 in exponential form is:

89510 = 2¹ × 5¹ × 8951¹

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 89510

List of positive integer factors of 89510 that divides 89505 without a remainder.

1, 2, 5, 10, 8951, 17902, 44755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89505 and 89510. The biggest common factor number is the GCF number.
So the greatest common factor 89505 and 89510 is 5.

Also check out the Least Common Multiple of 89505 and 89510