What is the Greatest Common Factor of 40356 and 40375?

Greatest common factor (GCF) of 40356 and 40375 is 19.

GCF(40356,40375) = 19

We will now calculate the prime factors of 40356 and 40375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40356 and 40375.

How to find the GCF of 40356 and 40375?

We will first find the prime factorization of 40356 and 40375. After we will calculate the factors of 40356 and 40375 and find the biggest common factor number .

Step-1: Prime Factorization of 40356

Prime factors of 40356 are 2, 3, 19, 59. Prime factorization of 40356 in exponential form is:

40356 = 2² × 3² × 19¹ × 59¹

Step-2: 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-3: Factors of 40356

List of positive integer factors of 40356 that divides 40356 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 59, 76, 114, 118, 171, 177, 228, 236, 342, 354, 531, 684, 708, 1062, 1121, 2124, 2242, 3363, 4484, 6726, 10089, 13452, 20178

Step-4: Factors of 40375

List of positive integer factors of 40375 that divides 40356 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40356 and 40375. The biggest common factor number is the GCF number.
So the greatest common factor 40356 and 40375 is 19.

Also check out the Least Common Multiple of 40356 and 40375