What is the Greatest Common Factor of 84864 and 84869?

Greatest common factor (GCF) of 84864 and 84869 is 1.

GCF(84864,84869) = 1

We will now calculate the prime factors of 84864 and 84869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84864 and 84869.

How to find the GCF of 84864 and 84869?

We will first find the prime factorization of 84864 and 84869. After we will calculate the factors of 84864 and 84869 and find the biggest common factor number .

Step-1: Prime Factorization of 84864

Prime factors of 84864 are 2, 3, 13, 17. Prime factorization of 84864 in exponential form is:

84864 = 2⁷ × 3¹ × 13¹ × 17¹

Step-2: Prime Factorization of 84869

Prime factors of 84869 are 84869. Prime factorization of 84869 in exponential form is:

84869 = 84869¹

Step-3: Factors of 84864

List of positive integer factors of 84864 that divides 84864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 128, 136, 156, 192, 204, 208, 221, 272, 312, 384, 408, 416, 442, 544, 624, 663, 816, 832, 884, 1088, 1248, 1326, 1632, 1664, 1768, 2176, 2496, 2652, 3264, 3536, 4992, 5304, 6528, 7072, 10608, 14144, 21216, 28288, 42432

Step-4: Factors of 84869

List of positive integer factors of 84869 that divides 84864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84864 and 84869. The biggest common factor number is the GCF number.
So the greatest common factor 84864 and 84869 is 1.

Also check out the Least Common Multiple of 84864 and 84869