What is the Greatest Common Factor of 6853 and 6864?

Greatest common factor (GCF) of 6853 and 6864 is 11.

GCF(6853,6864) = 11

We will now calculate the prime factors of 6853 and 6864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6853 and 6864.

How to find the GCF of 6853 and 6864?

We will first find the prime factorization of 6853 and 6864. After we will calculate the factors of 6853 and 6864 and find the biggest common factor number .

Step-1: Prime Factorization of 6853

Prime factors of 6853 are 7, 11, 89. Prime factorization of 6853 in exponential form is:

6853 = 7¹ × 11¹ × 89¹

Step-2: 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-3: Factors of 6853

List of positive integer factors of 6853 that divides 6853 without a remainder.

1, 7, 11, 77, 89, 623, 979

Step-4: Factors of 6864

List of positive integer factors of 6864 that divides 6853 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6853 and 6864. The biggest common factor number is the GCF number.
So the greatest common factor 6853 and 6864 is 11.

Also check out the Least Common Multiple of 6853 and 6864