What is the Greatest Common Factor of 36540 and 36550?

Greatest common factor (GCF) of 36540 and 36550 is 10.

GCF(36540,36550) = 10

We will now calculate the prime factors of 36540 and 36550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36540 and 36550.

How to find the GCF of 36540 and 36550?

We will first find the prime factorization of 36540 and 36550. After we will calculate the factors of 36540 and 36550 and find the biggest common factor number .

Step-1: Prime Factorization of 36540

Prime factors of 36540 are 2, 3, 5, 7, 29. Prime factorization of 36540 in exponential form is:

36540 = 2² × 3² × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 36550

Prime factors of 36550 are 2, 5, 17, 43. Prime factorization of 36550 in exponential form is:

36550 = 2¹ × 5² × 17¹ × 43¹

Step-3: Factors of 36540

List of positive integer factors of 36540 that divides 36540 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 29, 30, 35, 36, 42, 45, 58, 60, 63, 70, 84, 87, 90, 105, 116, 126, 140, 145, 174, 180, 203, 210, 252, 261, 290, 315, 348, 406, 420, 435, 522, 580, 609, 630, 812, 870, 1015, 1044, 1218, 1260, 1305, 1740, 1827, 2030, 2436, 2610, 3045, 3654, 4060, 5220, 6090, 7308, 9135, 12180, 18270

Step-4: Factors of 36550

List of positive integer factors of 36550 that divides 36540 without a remainder.

1, 2, 5, 10, 17, 25, 34, 43, 50, 85, 86, 170, 215, 425, 430, 731, 850, 1075, 1462, 2150, 3655, 7310, 18275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36540 and 36550. The biggest common factor number is the GCF number.
So the greatest common factor 36540 and 36550 is 10.

Also check out the Least Common Multiple of 36540 and 36550