What is the Greatest Common Factor of 80535 and 80549?

Greatest common factor (GCF) of 80535 and 80549 is 7.

GCF(80535,80549) = 7

We will now calculate the prime factors of 80535 and 80549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80535 and 80549.

How to find the GCF of 80535 and 80549?

We will first find the prime factorization of 80535 and 80549. After we will calculate the factors of 80535 and 80549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80549

Prime factors of 80549 are 7, 37, 311. Prime factorization of 80549 in exponential form is:

80549 = 7¹ × 37¹ × 311¹

Step-3: Factors of 80535

List of positive integer factors of 80535 that divides 80535 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

Step-4: Factors of 80549

List of positive integer factors of 80549 that divides 80535 without a remainder.

1, 7, 37, 259, 311, 2177, 11507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80535 and 80549. The biggest common factor number is the GCF number.
So the greatest common factor 80535 and 80549 is 7.

Also check out the Least Common Multiple of 80535 and 80549