What is the Greatest Common Factor of 40170 and 40183?

Greatest common factor (GCF) of 40170 and 40183 is 13.

GCF(40170,40183) = 13

We will now calculate the prime factors of 40170 and 40183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40170 and 40183.

How to find the GCF of 40170 and 40183?

We will first find the prime factorization of 40170 and 40183. After we will calculate the factors of 40170 and 40183 and find the biggest common factor number .

Step-1: Prime Factorization of 40170

Prime factors of 40170 are 2, 3, 5, 13, 103. Prime factorization of 40170 in exponential form is:

40170 = 2¹ × 3¹ × 5¹ × 13¹ × 103¹

Step-2: Prime Factorization of 40183

Prime factors of 40183 are 11, 13, 281. Prime factorization of 40183 in exponential form is:

40183 = 11¹ × 13¹ × 281¹

Step-3: Factors of 40170

List of positive integer factors of 40170 that divides 40170 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085

Step-4: Factors of 40183

List of positive integer factors of 40183 that divides 40170 without a remainder.

1, 11, 13, 143, 281, 3091, 3653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40170 and 40183. The biggest common factor number is the GCF number.
So the greatest common factor 40170 and 40183 is 13.

Also check out the Least Common Multiple of 40170 and 40183