What is the Greatest Common Factor of 6874 and 6885?

Greatest common factor (GCF) of 6874 and 6885 is 1.

GCF(6874,6885) = 1

We will now calculate the prime factors of 6874 and 6885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6874 and 6885.

How to find the GCF of 6874 and 6885?

We will first find the prime factorization of 6874 and 6885. After we will calculate the factors of 6874 and 6885 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 6885

Prime factors of 6885 are 3, 5, 17. Prime factorization of 6885 in exponential form is:

6885 = 3⁴ × 5¹ × 17¹

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 6885

List of positive integer factors of 6885 that divides 6874 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6874 and 6885. The biggest common factor number is the GCF number.
So the greatest common factor 6874 and 6885 is 1.

Also check out the Least Common Multiple of 6874 and 6885