What is the Greatest Common Factor of 12865 and 12880?

Greatest common factor (GCF) of 12865 and 12880 is 5.

GCF(12865,12880) = 5

We will now calculate the prime factors of 12865 and 12880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12865 and 12880.

How to find the GCF of 12865 and 12880?

We will first find the prime factorization of 12865 and 12880. After we will calculate the factors of 12865 and 12880 and find the biggest common factor number .

Step-1: Prime Factorization of 12865

Prime factors of 12865 are 5, 31, 83. Prime factorization of 12865 in exponential form is:

12865 = 5¹ × 31¹ × 83¹

Step-2: Prime Factorization of 12880

Prime factors of 12880 are 2, 5, 7, 23. Prime factorization of 12880 in exponential form is:

12880 = 2⁴ × 5¹ × 7¹ × 23¹

Step-3: Factors of 12865

List of positive integer factors of 12865 that divides 12865 without a remainder.

1, 5, 31, 83, 155, 415, 2573

Step-4: Factors of 12880

List of positive integer factors of 12880 that divides 12865 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 35, 40, 46, 56, 70, 80, 92, 112, 115, 140, 161, 184, 230, 280, 322, 368, 460, 560, 644, 805, 920, 1288, 1610, 1840, 2576, 3220, 6440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12865 and 12880. The biggest common factor number is the GCF number.
So the greatest common factor 12865 and 12880 is 5.

Also check out the Least Common Multiple of 12865 and 12880