What is the Greatest Common Factor of 40356 and 40371?

Greatest common factor (GCF) of 40356 and 40371 is 3.

GCF(40356,40371) = 3

We will now calculate the prime factors of 40356 and 40371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40356 and 40371.

How to find the GCF of 40356 and 40371?

We will first find the prime factorization of 40356 and 40371. After we will calculate the factors of 40356 and 40371 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 40371

Prime factors of 40371 are 3, 13457. Prime factorization of 40371 in exponential form is:

40371 = 3¹ × 13457¹

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 40371

List of positive integer factors of 40371 that divides 40356 without a remainder.

1, 3, 13457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40356 and 40371. The biggest common factor number is the GCF number.
So the greatest common factor 40356 and 40371 is 3.

Also check out the Least Common Multiple of 40356 and 40371