What is the Greatest Common Factor of 40290 and 40296?

Greatest common factor (GCF) of 40290 and 40296 is 6.

GCF(40290,40296) = 6

We will now calculate the prime factors of 40290 and 40296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40290 and 40296.

How to find the GCF of 40290 and 40296?

We will first find the prime factorization of 40290 and 40296. After we will calculate the factors of 40290 and 40296 and find the biggest common factor number .

Step-1: Prime Factorization of 40290

Prime factors of 40290 are 2, 3, 5, 17, 79. Prime factorization of 40290 in exponential form is:

40290 = 2¹ × 3¹ × 5¹ × 17¹ × 79¹

Step-2: Prime Factorization of 40296

Prime factors of 40296 are 2, 3, 23, 73. Prime factorization of 40296 in exponential form is:

40296 = 2³ × 3¹ × 23¹ × 73¹

Step-3: Factors of 40290

List of positive integer factors of 40290 that divides 40290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 79, 85, 102, 158, 170, 237, 255, 395, 474, 510, 790, 1185, 1343, 2370, 2686, 4029, 6715, 8058, 13430, 20145

Step-4: Factors of 40296

List of positive integer factors of 40296 that divides 40290 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 73, 92, 138, 146, 184, 219, 276, 292, 438, 552, 584, 876, 1679, 1752, 3358, 5037, 6716, 10074, 13432, 20148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40290 and 40296. The biggest common factor number is the GCF number.
So the greatest common factor 40290 and 40296 is 6.

Also check out the Least Common Multiple of 40290 and 40296