What is the Greatest Common Factor of 36153 and 36168?

Greatest common factor (GCF) of 36153 and 36168 is 3.

GCF(36153,36168) = 3

We will now calculate the prime factors of 36153 and 36168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36153 and 36168.

How to find the GCF of 36153 and 36168?

We will first find the prime factorization of 36153 and 36168. After we will calculate the factors of 36153 and 36168 and find the biggest common factor number .

Step-1: Prime Factorization of 36153

Prime factors of 36153 are 3, 13, 103. Prime factorization of 36153 in exponential form is:

36153 = 3³ × 13¹ × 103¹

Step-2: Prime Factorization of 36168

Prime factors of 36168 are 2, 3, 11, 137. Prime factorization of 36168 in exponential form is:

36168 = 2³ × 3¹ × 11¹ × 137¹

Step-3: Factors of 36153

List of positive integer factors of 36153 that divides 36153 without a remainder.

1, 3, 9, 13, 27, 39, 103, 117, 309, 351, 927, 1339, 2781, 4017, 12051

Step-4: Factors of 36168

List of positive integer factors of 36168 that divides 36153 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 137, 264, 274, 411, 548, 822, 1096, 1507, 1644, 3014, 3288, 4521, 6028, 9042, 12056, 18084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36153 and 36168. The biggest common factor number is the GCF number.
So the greatest common factor 36153 and 36168 is 3.

Also check out the Least Common Multiple of 36153 and 36168