What is the Greatest Common Factor of 12880 and 12887?

Greatest common factor (GCF) of 12880 and 12887 is 7.

GCF(12880,12887) = 7

We will now calculate the prime factors of 12880 and 12887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12880 and 12887.

How to find the GCF of 12880 and 12887?

We will first find the prime factorization of 12880 and 12887. After we will calculate the factors of 12880 and 12887 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12887

Prime factors of 12887 are 7, 263. Prime factorization of 12887 in exponential form is:

12887 = 7² × 263¹

Step-3: Factors of 12880

List of positive integer factors of 12880 that divides 12880 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

Step-4: Factors of 12887

List of positive integer factors of 12887 that divides 12880 without a remainder.

1, 7, 49, 263, 1841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12880 and 12887. The biggest common factor number is the GCF number.
So the greatest common factor 12880 and 12887 is 7.

Also check out the Least Common Multiple of 12880 and 12887