What is the Greatest Common Factor of 36505 and 36515?

Greatest common factor (GCF) of 36505 and 36515 is 5.

GCF(36505,36515) = 5

We will now calculate the prime factors of 36505 and 36515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36505 and 36515.

How to find the GCF of 36505 and 36515?

We will first find the prime factorization of 36505 and 36515. After we will calculate the factors of 36505 and 36515 and find the biggest common factor number .

Step-1: Prime Factorization of 36505

Prime factors of 36505 are 5, 7, 149. Prime factorization of 36505 in exponential form is:

36505 = 5¹ × 7² × 149¹

Step-2: Prime Factorization of 36515

Prime factors of 36515 are 5, 67, 109. Prime factorization of 36515 in exponential form is:

36515 = 5¹ × 67¹ × 109¹

Step-3: Factors of 36505

List of positive integer factors of 36505 that divides 36505 without a remainder.

1, 5, 7, 35, 49, 149, 245, 745, 1043, 5215, 7301

Step-4: Factors of 36515

List of positive integer factors of 36515 that divides 36505 without a remainder.

1, 5, 67, 109, 335, 545, 7303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36505 and 36515. The biggest common factor number is the GCF number.
So the greatest common factor 36505 and 36515 is 5.

Also check out the Least Common Multiple of 36505 and 36515