What is the Greatest Common Factor of 36495 and 36507?

Greatest common factor (GCF) of 36495 and 36507 is 3.

GCF(36495,36507) = 3

We will now calculate the prime factors of 36495 and 36507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36495 and 36507.

How to find the GCF of 36495 and 36507?

We will first find the prime factorization of 36495 and 36507. After we will calculate the factors of 36495 and 36507 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36507

Prime factors of 36507 are 3, 43, 283. Prime factorization of 36507 in exponential form is:

36507 = 3¹ × 43¹ × 283¹

Step-3: Factors of 36495

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

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

Step-4: Factors of 36507

List of positive integer factors of 36507 that divides 36495 without a remainder.

1, 3, 43, 129, 283, 849, 12169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36495 and 36507. The biggest common factor number is the GCF number.
So the greatest common factor 36495 and 36507 is 3.

Also check out the Least Common Multiple of 36495 and 36507