What is the Greatest Common Factor of 36545 and 36565?

Greatest common factor (GCF) of 36545 and 36565 is 5.

GCF(36545,36565) = 5

We will now calculate the prime factors of 36545 and 36565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36545 and 36565.

How to find the GCF of 36545 and 36565?

We will first find the prime factorization of 36545 and 36565. After we will calculate the factors of 36545 and 36565 and find the biggest common factor number .

Step-1: Prime Factorization of 36545

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

36545 = 5¹ × 7309¹

Step-2: 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-3: Factors of 36545

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

1, 5, 7309

Step-4: Factors of 36565

List of positive integer factors of 36565 that divides 36545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36545 and 36565. The biggest common factor number is the GCF number.
So the greatest common factor 36545 and 36565 is 5.

Also check out the Least Common Multiple of 36545 and 36565