What is the Greatest Common Factor of 36485 and 36495?

Greatest common factor (GCF) of 36485 and 36495 is 5.

GCF(36485,36495) = 5

We will now calculate the prime factors of 36485 and 36495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36485 and 36495.

How to find the GCF of 36485 and 36495?

We will first find the prime factorization of 36485 and 36495. After we will calculate the factors of 36485 and 36495 and find the biggest common factor number .

Step-1: Prime Factorization of 36485

Prime factors of 36485 are 5, 7297. Prime factorization of 36485 in exponential form is:

36485 = 5¹ × 7297¹

Step-2: Prime Factorization of 36495

Prime factors of 36495 are 3, 5, 811. Prime factorization of 36495 in exponential form is:

36495 = 3² × 5¹ × 811¹

Step-3: Factors of 36485

List of positive integer factors of 36485 that divides 36485 without a remainder.

1, 5, 7297

Step-4: Factors of 36495

List of positive integer factors of 36495 that divides 36485 without a remainder.

1, 3, 5, 9, 15, 45, 811, 2433, 4055, 7299, 12165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36485 and 36495. The biggest common factor number is the GCF number.
So the greatest common factor 36485 and 36495 is 5.

Also check out the Least Common Multiple of 36485 and 36495