What is the Greatest Common Factor of 36141 and 36153?

Greatest common factor (GCF) of 36141 and 36153 is 3.

GCF(36141,36153) = 3

We will now calculate the prime factors of 36141 and 36153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36141 and 36153.

How to find the GCF of 36141 and 36153?

We will first find the prime factorization of 36141 and 36153. After we will calculate the factors of 36141 and 36153 and find the biggest common factor number .

Step-1: Prime Factorization of 36141

Prime factors of 36141 are 3, 7, 1721. Prime factorization of 36141 in exponential form is:

36141 = 3¹ × 7¹ × 1721¹

Step-2: 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-3: Factors of 36141

List of positive integer factors of 36141 that divides 36141 without a remainder.

1, 3, 7, 21, 1721, 5163, 12047

Step-4: Factors of 36153

List of positive integer factors of 36153 that divides 36141 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36141 and 36153. The biggest common factor number is the GCF number.
So the greatest common factor 36141 and 36153 is 3.

Also check out the Least Common Multiple of 36141 and 36153