What is the Greatest Common Factor of 83867 and 83874?

Greatest common factor (GCF) of 83867 and 83874 is 7.

GCF(83867,83874) = 7

We will now calculate the prime factors of 83867 and 83874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83867 and 83874.

How to find the GCF of 83867 and 83874?

We will first find the prime factorization of 83867 and 83874. After we will calculate the factors of 83867 and 83874 and find the biggest common factor number .

Step-1: Prime Factorization of 83867

Prime factors of 83867 are 7, 11981. Prime factorization of 83867 in exponential form is:

83867 = 7¹ × 11981¹

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 83867

List of positive integer factors of 83867 that divides 83867 without a remainder.

1, 7, 11981

Step-4: Factors of 83874

List of positive integer factors of 83874 that divides 83867 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 83867 and 83874. The biggest common factor number is the GCF number.
So the greatest common factor 83867 and 83874 is 7.

Also check out the Least Common Multiple of 83867 and 83874