What is the Greatest Common Factor of 36533 and 36540?

Greatest common factor (GCF) of 36533 and 36540 is 7.

GCF(36533,36540) = 7

We will now calculate the prime factors of 36533 and 36540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36533 and 36540.

How to find the GCF of 36533 and 36540?

We will first find the prime factorization of 36533 and 36540. After we will calculate the factors of 36533 and 36540 and find the biggest common factor number .

Step-1: Prime Factorization of 36533

Prime factors of 36533 are 7, 17, 307. Prime factorization of 36533 in exponential form is:

36533 = 7¹ × 17¹ × 307¹

Step-2: 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-3: Factors of 36533

List of positive integer factors of 36533 that divides 36533 without a remainder.

1, 7, 17, 119, 307, 2149, 5219

Step-4: Factors of 36540

List of positive integer factors of 36540 that divides 36533 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36533 and 36540. The biggest common factor number is the GCF number.
So the greatest common factor 36533 and 36540 is 7.

Also check out the Least Common Multiple of 36533 and 36540