What is the Greatest Common Factor of 6874 and 6884?

Greatest common factor (GCF) of 6874 and 6884 is 2.

GCF(6874,6884) = 2

We will now calculate the prime factors of 6874 and 6884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6874 and 6884.

How to find the GCF of 6874 and 6884?

We will first find the prime factorization of 6874 and 6884. After we will calculate the factors of 6874 and 6884 and find the biggest common factor number .

Step-1: Prime Factorization of 6874

Prime factors of 6874 are 2, 7, 491. Prime factorization of 6874 in exponential form is:

6874 = 2¹ × 7¹ × 491¹

Step-2: Prime Factorization of 6884

Prime factors of 6884 are 2, 1721. Prime factorization of 6884 in exponential form is:

6884 = 2² × 1721¹

Step-3: Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1, 2, 7, 14, 491, 982, 3437

Step-4: Factors of 6884

List of positive integer factors of 6884 that divides 6874 without a remainder.

1, 2, 4, 1721, 3442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6874 and 6884. The biggest common factor number is the GCF number.
So the greatest common factor 6874 and 6884 is 2.

Also check out the Least Common Multiple of 6874 and 6884