What is the Greatest Common Factor of 36303 and 36318?

Greatest common factor (GCF) of 36303 and 36318 is 3.

GCF(36303,36318) = 3

We will now calculate the prime factors of 36303 and 36318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36303 and 36318.

How to find the GCF of 36303 and 36318?

We will first find the prime factorization of 36303 and 36318. After we will calculate the factors of 36303 and 36318 and find the biggest common factor number .

Step-1: Prime Factorization of 36303

Prime factors of 36303 are 3, 12101. Prime factorization of 36303 in exponential form is:

36303 = 3¹ × 12101¹

Step-2: Prime Factorization of 36318

Prime factors of 36318 are 2, 3, 6053. Prime factorization of 36318 in exponential form is:

36318 = 2¹ × 3¹ × 6053¹

Step-3: Factors of 36303

List of positive integer factors of 36303 that divides 36303 without a remainder.

1, 3, 12101

Step-4: Factors of 36318

List of positive integer factors of 36318 that divides 36303 without a remainder.

1, 2, 3, 6, 6053, 12106, 18159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36303 and 36318. The biggest common factor number is the GCF number.
So the greatest common factor 36303 and 36318 is 3.

Also check out the Least Common Multiple of 36303 and 36318