What is the Greatest Common Factor of 36105 and 36117?

Greatest common factor (GCF) of 36105 and 36117 is 3.

GCF(36105,36117) = 3

We will now calculate the prime factors of 36105 and 36117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36105 and 36117.

How to find the GCF of 36105 and 36117?

We will first find the prime factorization of 36105 and 36117. After we will calculate the factors of 36105 and 36117 and find the biggest common factor number .

Step-1: Prime Factorization of 36105

Prime factors of 36105 are 3, 5, 29, 83. Prime factorization of 36105 in exponential form is:

36105 = 3¹ × 5¹ × 29¹ × 83¹

Step-2: Prime Factorization of 36117

Prime factors of 36117 are 3, 4013. Prime factorization of 36117 in exponential form is:

36117 = 3² × 4013¹

Step-3: Factors of 36105

List of positive integer factors of 36105 that divides 36105 without a remainder.

1, 3, 5, 15, 29, 83, 87, 145, 249, 415, 435, 1245, 2407, 7221, 12035

Step-4: Factors of 36117

List of positive integer factors of 36117 that divides 36105 without a remainder.

1, 3, 9, 4013, 12039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36105 and 36117. The biggest common factor number is the GCF number.
So the greatest common factor 36105 and 36117 is 3.

Also check out the Least Common Multiple of 36105 and 36117