What is the Greatest Common Factor of 83831 and 83842?

Greatest common factor (GCF) of 83831 and 83842 is 11.

GCF(83831,83842) = 11

We will now calculate the prime factors of 83831 and 83842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83831 and 83842.

How to find the GCF of 83831 and 83842?

We will first find the prime factorization of 83831 and 83842. After we will calculate the factors of 83831 and 83842 and find the biggest common factor number .

Step-1: Prime Factorization of 83831

Prime factors of 83831 are 11, 7621. Prime factorization of 83831 in exponential form is:

83831 = 11¹ × 7621¹

Step-2: Prime Factorization of 83842

Prime factors of 83842 are 2, 11, 37, 103. Prime factorization of 83842 in exponential form is:

83842 = 2¹ × 11¹ × 37¹ × 103¹

Step-3: Factors of 83831

List of positive integer factors of 83831 that divides 83831 without a remainder.

1, 11, 7621

Step-4: Factors of 83842

List of positive integer factors of 83842 that divides 83831 without a remainder.

1, 2, 11, 22, 37, 74, 103, 206, 407, 814, 1133, 2266, 3811, 7622, 41921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83831 and 83842. The biggest common factor number is the GCF number.
So the greatest common factor 83831 and 83842 is 11.

Also check out the Least Common Multiple of 83831 and 83842