What is the Greatest Common Factor of 13780 and 13798?

Greatest common factor (GCF) of 13780 and 13798 is 2.

GCF(13780,13798) = 2

We will now calculate the prime factors of 13780 and 13798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13780 and 13798.

How to find the GCF of 13780 and 13798?

We will first find the prime factorization of 13780 and 13798. After we will calculate the factors of 13780 and 13798 and find the biggest common factor number .

Step-1: Prime Factorization of 13780

Prime factors of 13780 are 2, 5, 13, 53. Prime factorization of 13780 in exponential form is:

13780 = 2² × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 13798

Prime factors of 13798 are 2, 6899. Prime factorization of 13798 in exponential form is:

13798 = 2¹ × 6899¹

Step-3: Factors of 13780

List of positive integer factors of 13780 that divides 13780 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 53, 65, 106, 130, 212, 260, 265, 530, 689, 1060, 1378, 2756, 3445, 6890

Step-4: Factors of 13798

List of positive integer factors of 13798 that divides 13780 without a remainder.

1, 2, 6899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13780 and 13798. The biggest common factor number is the GCF number.
So the greatest common factor 13780 and 13798 is 2.

Also check out the Least Common Multiple of 13780 and 13798