What is the Greatest Common Factor of 31842 and 31857?

Greatest common factor (GCF) of 31842 and 31857 is 3.

GCF(31842,31857) = 3

We will now calculate the prime factors of 31842 and 31857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31842 and 31857.

How to find the GCF of 31842 and 31857?

We will first find the prime factorization of 31842 and 31857. After we will calculate the factors of 31842 and 31857 and find the biggest common factor number .

Step-1: Prime Factorization of 31842

Prime factors of 31842 are 2, 3, 29, 61. Prime factorization of 31842 in exponential form is:

31842 = 2¹ × 3² × 29¹ × 61¹

Step-2: Prime Factorization of 31857

Prime factors of 31857 are 3, 7, 37, 41. Prime factorization of 31857 in exponential form is:

31857 = 3¹ × 7¹ × 37¹ × 41¹

Step-3: Factors of 31842

List of positive integer factors of 31842 that divides 31842 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 61, 87, 122, 174, 183, 261, 366, 522, 549, 1098, 1769, 3538, 5307, 10614, 15921

Step-4: Factors of 31857

List of positive integer factors of 31857 that divides 31842 without a remainder.

1, 3, 7, 21, 37, 41, 111, 123, 259, 287, 777, 861, 1517, 4551, 10619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31842 and 31857. The biggest common factor number is the GCF number.
So the greatest common factor 31842 and 31857 is 3.

Also check out the Least Common Multiple of 31842 and 31857