What is the Greatest Common Factor of 72527 and 72540?

Greatest common factor (GCF) of 72527 and 72540 is 13.

GCF(72527,72540) = 13

We will now calculate the prime factors of 72527 and 72540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72527 and 72540.

How to find the GCF of 72527 and 72540?

We will first find the prime factorization of 72527 and 72540. After we will calculate the factors of 72527 and 72540 and find the biggest common factor number .

Step-1: Prime Factorization of 72527

Prime factors of 72527 are 7, 13, 797. Prime factorization of 72527 in exponential form is:

72527 = 7¹ × 13¹ × 797¹

Step-2: 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-3: Factors of 72527

List of positive integer factors of 72527 that divides 72527 without a remainder.

1, 7, 13, 91, 797, 5579, 10361

Step-4: Factors of 72540

List of positive integer factors of 72540 that divides 72527 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72527 and 72540. The biggest common factor number is the GCF number.
So the greatest common factor 72527 and 72540 is 13.

Also check out the Least Common Multiple of 72527 and 72540