What is the Greatest Common Factor of 36540 and 36545?

Greatest common factor (GCF) of 36540 and 36545 is 5.

GCF(36540,36545) = 5

We will now calculate the prime factors of 36540 and 36545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36540 and 36545.

How to find the GCF of 36540 and 36545?

We will first find the prime factorization of 36540 and 36545. After we will calculate the factors of 36540 and 36545 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 36545

Prime factors of 36545 are 5, 7309. Prime factorization of 36545 in exponential form is:

36545 = 5¹ × 7309¹

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 36545

List of positive integer factors of 36545 that divides 36540 without a remainder.

1, 5, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36540 and 36545. The biggest common factor number is the GCF number.
So the greatest common factor 36540 and 36545 is 5.

Also check out the Least Common Multiple of 36540 and 36545