What is the Greatest Common Factor of 13780 and 13786?

Greatest common factor (GCF) of 13780 and 13786 is 2.

GCF(13780,13786) = 2

We will now calculate the prime factors of 13780 and 13786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13780 and 13786.

How to find the GCF of 13780 and 13786?

We will first find the prime factorization of 13780 and 13786. After we will calculate the factors of 13780 and 13786 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 13786

Prime factors of 13786 are 2, 61, 113. Prime factorization of 13786 in exponential form is:

13786 = 2¹ × 61¹ × 113¹

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 13786

List of positive integer factors of 13786 that divides 13780 without a remainder.

1, 2, 61, 113, 122, 226, 6893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13780 and 13786. The biggest common factor number is the GCF number.
So the greatest common factor 13780 and 13786 is 2.

Also check out the Least Common Multiple of 13780 and 13786