What is the Greatest Common Factor of 83842 and 83859?

Greatest common factor (GCF) of 83842 and 83859 is 1.

GCF(83842,83859) = 1

We will now calculate the prime factors of 83842 and 83859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83842 and 83859.

How to find the GCF of 83842 and 83859?

We will first find the prime factorization of 83842 and 83859. After we will calculate the factors of 83842 and 83859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83859

Prime factors of 83859 are 3, 27953. Prime factorization of 83859 in exponential form is:

83859 = 3¹ × 27953¹

Step-3: Factors of 83842

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

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

Step-4: Factors of 83859

List of positive integer factors of 83859 that divides 83842 without a remainder.

1, 3, 27953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83842 and 83859. The biggest common factor number is the GCF number.
So the greatest common factor 83842 and 83859 is 1.

Also check out the Least Common Multiple of 83842 and 83859