What is the Greatest Common Factor of 36565 and 36577?

Greatest common factor (GCF) of 36565 and 36577 is 1.

GCF(36565,36577) = 1

We will now calculate the prime factors of 36565 and 36577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36565 and 36577.

How to find the GCF of 36565 and 36577?

We will first find the prime factorization of 36565 and 36577. After we will calculate the factors of 36565 and 36577 and find the biggest common factor number .

Step-1: Prime Factorization of 36565

Prime factors of 36565 are 5, 71, 103. Prime factorization of 36565 in exponential form is:

36565 = 5¹ × 71¹ × 103¹

Step-2: Prime Factorization of 36577

Prime factors of 36577 are 79, 463. Prime factorization of 36577 in exponential form is:

36577 = 79¹ × 463¹

Step-3: Factors of 36565

List of positive integer factors of 36565 that divides 36565 without a remainder.

1, 5, 71, 103, 355, 515, 7313

Step-4: Factors of 36577

List of positive integer factors of 36577 that divides 36565 without a remainder.

1, 79, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36565 and 36577. The biggest common factor number is the GCF number.
So the greatest common factor 36565 and 36577 is 1.

Also check out the Least Common Multiple of 36565 and 36577