What is the Greatest Common Factor of 12870 and 12883?

Greatest common factor (GCF) of 12870 and 12883 is 13.

GCF(12870,12883) = 13

We will now calculate the prime factors of 12870 and 12883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12870 and 12883.

How to find the GCF of 12870 and 12883?

We will first find the prime factorization of 12870 and 12883. After we will calculate the factors of 12870 and 12883 and find the biggest common factor number .

Step-1: Prime Factorization of 12870

Prime factors of 12870 are 2, 3, 5, 11, 13. Prime factorization of 12870 in exponential form is:

12870 = 2¹ × 3² × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 12883

Prime factors of 12883 are 13, 991. Prime factorization of 12883 in exponential form is:

12883 = 13¹ × 991¹

Step-3: Factors of 12870

List of positive integer factors of 12870 that divides 12870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 26, 30, 33, 39, 45, 55, 65, 66, 78, 90, 99, 110, 117, 130, 143, 165, 195, 198, 234, 286, 330, 390, 429, 495, 585, 715, 858, 990, 1170, 1287, 1430, 2145, 2574, 4290, 6435

Step-4: Factors of 12883

List of positive integer factors of 12883 that divides 12870 without a remainder.

1, 13, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12870 and 12883. The biggest common factor number is the GCF number.
So the greatest common factor 12870 and 12883 is 13.

Also check out the Least Common Multiple of 12870 and 12883