What is the Greatest Common Factor of 36603 and 36615?

Greatest common factor (GCF) of 36603 and 36615 is 3.

GCF(36603,36615) = 3

We will now calculate the prime factors of 36603 and 36615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36603 and 36615.

How to find the GCF of 36603 and 36615?

We will first find the prime factorization of 36603 and 36615. After we will calculate the factors of 36603 and 36615 and find the biggest common factor number .

Step-1: Prime Factorization of 36603

Prime factors of 36603 are 3, 7, 83. Prime factorization of 36603 in exponential form is:

36603 = 3² × 7² × 83¹

Step-2: Prime Factorization of 36615

Prime factors of 36615 are 3, 5, 2441. Prime factorization of 36615 in exponential form is:

36615 = 3¹ × 5¹ × 2441¹

Step-3: Factors of 36603

List of positive integer factors of 36603 that divides 36603 without a remainder.

1, 3, 7, 9, 21, 49, 63, 83, 147, 249, 441, 581, 747, 1743, 4067, 5229, 12201

Step-4: Factors of 36615

List of positive integer factors of 36615 that divides 36603 without a remainder.

1, 3, 5, 15, 2441, 7323, 12205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36603 and 36615. The biggest common factor number is the GCF number.
So the greatest common factor 36603 and 36615 is 3.

Also check out the Least Common Multiple of 36603 and 36615