What is the Greatest Common Factor of 83859 and 83874?

Greatest common factor (GCF) of 83859 and 83874 is 3.

GCF(83859,83874) = 3

We will now calculate the prime factors of 83859 and 83874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83859 and 83874.

How to find the GCF of 83859 and 83874?

We will first find the prime factorization of 83859 and 83874. After we will calculate the factors of 83859 and 83874 and find the biggest common factor number .

Step-1: Prime Factorization of 83859

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

83859 = 3¹ × 27953¹

Step-2: Prime Factorization of 83874

Prime factors of 83874 are 2, 3, 7, 1997. Prime factorization of 83874 in exponential form is:

83874 = 2¹ × 3¹ × 7¹ × 1997¹

Step-3: Factors of 83859

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

1, 3, 27953

Step-4: Factors of 83874

List of positive integer factors of 83874 that divides 83859 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1997, 3994, 5991, 11982, 13979, 27958, 41937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83859 and 83874. The biggest common factor number is the GCF number.
So the greatest common factor 83859 and 83874 is 3.

Also check out the Least Common Multiple of 83859 and 83874