What is the Greatest Common Factor of 72540 and 72553?

Greatest common factor (GCF) of 72540 and 72553 is 13.

GCF(72540,72553) = 13

We will now calculate the prime factors of 72540 and 72553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72540 and 72553.

How to find the GCF of 72540 and 72553?

We will first find the prime factorization of 72540 and 72553. After we will calculate the factors of 72540 and 72553 and find the biggest common factor number .

Step-1: Prime Factorization of 72540

Prime factors of 72540 are 2, 3, 5, 13, 31. Prime factorization of 72540 in exponential form is:

72540 = 2² × 3² × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 72553

Prime factors of 72553 are 13, 5581. Prime factorization of 72553 in exponential form is:

72553 = 13¹ × 5581¹

Step-3: Factors of 72540

List of positive integer factors of 72540 that divides 72540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 31, 36, 39, 45, 52, 60, 62, 65, 78, 90, 93, 117, 124, 130, 155, 156, 180, 186, 195, 234, 260, 279, 310, 372, 390, 403, 465, 468, 558, 585, 620, 780, 806, 930, 1116, 1170, 1209, 1395, 1612, 1860, 2015, 2340, 2418, 2790, 3627, 4030, 4836, 5580, 6045, 7254, 8060, 12090, 14508, 18135, 24180, 36270

Step-4: Factors of 72553

List of positive integer factors of 72553 that divides 72540 without a remainder.

1, 13, 5581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72540 and 72553. The biggest common factor number is the GCF number.
So the greatest common factor 72540 and 72553 is 13.

Also check out the Least Common Multiple of 72540 and 72553