What is the Greatest Common Factor of 31842 and 31846?

Greatest common factor (GCF) of 31842 and 31846 is 2.

GCF(31842,31846) = 2

We will now calculate the prime factors of 31842 and 31846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31842 and 31846.

How to find the GCF of 31842 and 31846?

We will first find the prime factorization of 31842 and 31846. After we will calculate the factors of 31842 and 31846 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 31846

Prime factors of 31846 are 2, 15923. Prime factorization of 31846 in exponential form is:

31846 = 2¹ × 15923¹

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 31846

List of positive integer factors of 31846 that divides 31842 without a remainder.

1, 2, 15923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31842 and 31846. The biggest common factor number is the GCF number.
So the greatest common factor 31842 and 31846 is 2.

Also check out the Least Common Multiple of 31842 and 31846