What is the Greatest Common Factor of 6864 and 6883?

Greatest common factor (GCF) of 6864 and 6883 is 1.

GCF(6864,6883) = 1

We will now calculate the prime factors of 6864 and 6883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6864 and 6883.

How to find the GCF of 6864 and 6883?

We will first find the prime factorization of 6864 and 6883. After we will calculate the factors of 6864 and 6883 and find the biggest common factor number .

Step-1: Prime Factorization of 6864

Prime factors of 6864 are 2, 3, 11, 13. Prime factorization of 6864 in exponential form is:

6864 = 2⁴ × 3¹ × 11¹ × 13¹

Step-2: Prime Factorization of 6883

Prime factors of 6883 are 6883. Prime factorization of 6883 in exponential form is:

6883 = 6883¹

Step-3: Factors of 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432

Step-4: Factors of 6883

List of positive integer factors of 6883 that divides 6864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6864 and 6883. The biggest common factor number is the GCF number.
So the greatest common factor 6864 and 6883 is 1.

Also check out the Least Common Multiple of 6864 and 6883