What is the Greatest Common Factor of 36140 and 36153?

Greatest common factor (GCF) of 36140 and 36153 is 13.

GCF(36140,36153) = 13

We will now calculate the prime factors of 36140 and 36153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36140 and 36153.

How to find the GCF of 36140 and 36153?

We will first find the prime factorization of 36140 and 36153. After we will calculate the factors of 36140 and 36153 and find the biggest common factor number .

Step-1: Prime Factorization of 36140

Prime factors of 36140 are 2, 5, 13, 139. Prime factorization of 36140 in exponential form is:

36140 = 2² × 5¹ × 13¹ × 139¹

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 36140

List of positive integer factors of 36140 that divides 36140 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 139, 260, 278, 556, 695, 1390, 1807, 2780, 3614, 7228, 9035, 18070

Step-4: Factors of 36153

List of positive integer factors of 36153 that divides 36140 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 36140 and 36153. The biggest common factor number is the GCF number.
So the greatest common factor 36140 and 36153 is 13.

Also check out the Least Common Multiple of 36140 and 36153