What is the Greatest Common Factor of 80517 and 80535?

Greatest common factor (GCF) of 80517 and 80535 is 3.

GCF(80517,80535) = 3

We will now calculate the prime factors of 80517 and 80535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80517 and 80535.

How to find the GCF of 80517 and 80535?

We will first find the prime factorization of 80517 and 80535. After we will calculate the factors of 80517 and 80535 and find the biggest common factor number .

Step-1: Prime Factorization of 80517

Prime factors of 80517 are 3, 26839. Prime factorization of 80517 in exponential form is:

80517 = 3¹ × 26839¹

Step-2: Prime Factorization of 80535

Prime factors of 80535 are 3, 5, 7, 13, 59. Prime factorization of 80535 in exponential form is:

80535 = 3¹ × 5¹ × 7¹ × 13¹ × 59¹

Step-3: Factors of 80517

List of positive integer factors of 80517 that divides 80517 without a remainder.

1, 3, 26839

Step-4: Factors of 80535

List of positive integer factors of 80535 that divides 80517 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 59, 65, 91, 105, 177, 195, 273, 295, 413, 455, 767, 885, 1239, 1365, 2065, 2301, 3835, 5369, 6195, 11505, 16107, 26845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80517 and 80535. The biggest common factor number is the GCF number.
So the greatest common factor 80517 and 80535 is 3.

Also check out the Least Common Multiple of 80517 and 80535