What is the Greatest Common Factor of 36550 and 36569?

Greatest common factor (GCF) of 36550 and 36569 is 1.

GCF(36550,36569) = 1

We will now calculate the prime factors of 36550 and 36569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36550 and 36569.

How to find the GCF of 36550 and 36569?

We will first find the prime factorization of 36550 and 36569. After we will calculate the factors of 36550 and 36569 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36569

Prime factors of 36569 are 13, 29, 97. Prime factorization of 36569 in exponential form is:

36569 = 13¹ × 29¹ × 97¹

Step-3: Factors of 36550

List of positive integer factors of 36550 that divides 36550 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

Step-4: Factors of 36569

List of positive integer factors of 36569 that divides 36550 without a remainder.

1, 13, 29, 97, 377, 1261, 2813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36550 and 36569. The biggest common factor number is the GCF number.
So the greatest common factor 36550 and 36569 is 1.

Also check out the Least Common Multiple of 36550 and 36569