What is the Greatest Common Factor of 40375 and 40392?

Greatest common factor (GCF) of 40375 and 40392 is 17.

GCF(40375,40392) = 17

We will now calculate the prime factors of 40375 and 40392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40375 and 40392.

How to find the GCF of 40375 and 40392?

We will first find the prime factorization of 40375 and 40392. After we will calculate the factors of 40375 and 40392 and find the biggest common factor number .

Step-1: Prime Factorization of 40375

Prime factors of 40375 are 5, 17, 19. Prime factorization of 40375 in exponential form is:

40375 = 5³ × 17¹ × 19¹

Step-2: Prime Factorization of 40392

Prime factors of 40392 are 2, 3, 11, 17. Prime factorization of 40392 in exponential form is:

40392 = 2³ × 3³ × 11¹ × 17¹

Step-3: Factors of 40375

List of positive integer factors of 40375 that divides 40375 without a remainder.

1, 5, 17, 19, 25, 85, 95, 125, 323, 425, 475, 1615, 2125, 2375, 8075

Step-4: Factors of 40392

List of positive integer factors of 40392 that divides 40375 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 27, 33, 34, 36, 44, 51, 54, 66, 68, 72, 88, 99, 102, 108, 132, 136, 153, 187, 198, 204, 216, 264, 297, 306, 374, 396, 408, 459, 561, 594, 612, 748, 792, 918, 1122, 1188, 1224, 1496, 1683, 1836, 2244, 2376, 3366, 3672, 4488, 5049, 6732, 10098, 13464, 20196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40375 and 40392. The biggest common factor number is the GCF number.
So the greatest common factor 40375 and 40392 is 17.

Also check out the Least Common Multiple of 40375 and 40392