What is the Greatest Common Factor of 80520 and 80535?

Greatest common factor (GCF) of 80520 and 80535 is 15.

GCF(80520,80535) = 15

We will now calculate the prime factors of 80520 and 80535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80520 and 80535.

How to find the GCF of 80520 and 80535?

We will first find the prime factorization of 80520 and 80535. After we will calculate the factors of 80520 and 80535 and find the biggest common factor number .

Step-1: Prime Factorization of 80520

Prime factors of 80520 are 2, 3, 5, 11, 61. Prime factorization of 80520 in exponential form is:

80520 = 2³ × 3¹ × 5¹ × 11¹ × 61¹

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 80520

List of positive integer factors of 80520 that divides 80520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 61, 66, 88, 110, 120, 122, 132, 165, 183, 220, 244, 264, 305, 330, 366, 440, 488, 610, 660, 671, 732, 915, 1220, 1320, 1342, 1464, 1830, 2013, 2440, 2684, 3355, 3660, 4026, 5368, 6710, 7320, 8052, 10065, 13420, 16104, 20130, 26840, 40260

Step-4: Factors of 80535

List of positive integer factors of 80535 that divides 80520 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 80520 and 80535. The biggest common factor number is the GCF number.
So the greatest common factor 80520 and 80535 is 15.

Also check out the Least Common Multiple of 80520 and 80535