What is the Greatest Common Factor of 12840 and 12860?

Greatest common factor (GCF) of 12840 and 12860 is 20.

GCF(12840,12860) = 20

We will now calculate the prime factors of 12840 and 12860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12840 and 12860.

How to find the GCF of 12840 and 12860?

We will first find the prime factorization of 12840 and 12860. After we will calculate the factors of 12840 and 12860 and find the biggest common factor number .

Step-1: Prime Factorization of 12840

Prime factors of 12840 are 2, 3, 5, 107. Prime factorization of 12840 in exponential form is:

12840 = 2³ × 3¹ × 5¹ × 107¹

Step-2: Prime Factorization of 12860

Prime factors of 12860 are 2, 5, 643. Prime factorization of 12860 in exponential form is:

12860 = 2² × 5¹ × 643¹

Step-3: Factors of 12840

List of positive integer factors of 12840 that divides 12840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 107, 120, 214, 321, 428, 535, 642, 856, 1070, 1284, 1605, 2140, 2568, 3210, 4280, 6420

Step-4: Factors of 12860

List of positive integer factors of 12860 that divides 12840 without a remainder.

1, 2, 4, 5, 10, 20, 643, 1286, 2572, 3215, 6430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12840 and 12860. The biggest common factor number is the GCF number.
So the greatest common factor 12840 and 12860 is 20.

Also check out the Least Common Multiple of 12840 and 12860