What is the Greatest Common Factor of 31842 and 31849?

Greatest common factor (GCF) of 31842 and 31849 is 1.

GCF(31842,31849) = 1

We will now calculate the prime factors of 31842 and 31849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31842 and 31849.

How to find the GCF of 31842 and 31849?

We will first find the prime factorization of 31842 and 31849. After we will calculate the factors of 31842 and 31849 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 31849

Prime factors of 31849 are 31849. Prime factorization of 31849 in exponential form is:

31849 = 31849¹

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 31849

List of positive integer factors of 31849 that divides 31842 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31842 and 31849. The biggest common factor number is the GCF number.
So the greatest common factor 31842 and 31849 is 1.

Also check out the Least Common Multiple of 31842 and 31849