What is the Greatest Common Factor of 36903 and 36915?

Greatest common factor (GCF) of 36903 and 36915 is 3.

GCF(36903,36915) = 3

We will now calculate the prime factors of 36903 and 36915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36903 and 36915.

How to find the GCF of 36903 and 36915?

We will first find the prime factorization of 36903 and 36915. After we will calculate the factors of 36903 and 36915 and find the biggest common factor number .

Step-1: Prime Factorization of 36903

Prime factors of 36903 are 3, 12301. Prime factorization of 36903 in exponential form is:

36903 = 3¹ × 12301¹

Step-2: Prime Factorization of 36915

Prime factors of 36915 are 3, 5, 23, 107. Prime factorization of 36915 in exponential form is:

36915 = 3¹ × 5¹ × 23¹ × 107¹

Step-3: Factors of 36903

List of positive integer factors of 36903 that divides 36903 without a remainder.

1, 3, 12301

Step-4: Factors of 36915

List of positive integer factors of 36915 that divides 36903 without a remainder.

1, 3, 5, 15, 23, 69, 107, 115, 321, 345, 535, 1605, 2461, 7383, 12305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36903 and 36915. The biggest common factor number is the GCF number.
So the greatest common factor 36903 and 36915 is 3.

Also check out the Least Common Multiple of 36903 and 36915