What is the Greatest Common Factor of 36536 and 36550?

Greatest common factor (GCF) of 36536 and 36550 is 2.

GCF(36536,36550) = 2

We will now calculate the prime factors of 36536 and 36550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36536 and 36550.

How to find the GCF of 36536 and 36550?

We will first find the prime factorization of 36536 and 36550. After we will calculate the factors of 36536 and 36550 and find the biggest common factor number .

Step-1: Prime Factorization of 36536

Prime factors of 36536 are 2, 4567. Prime factorization of 36536 in exponential form is:

36536 = 2³ × 4567¹

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 36536

List of positive integer factors of 36536 that divides 36536 without a remainder.

1, 2, 4, 8, 4567, 9134, 18268

Step-4: Factors of 36550

List of positive integer factors of 36550 that divides 36536 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 36536 and 36550. The biggest common factor number is the GCF number.
So the greatest common factor 36536 and 36550 is 2.

Also check out the Least Common Multiple of 36536 and 36550