What is the Greatest Common Factor of 13780 and 13795?

Greatest common factor (GCF) of 13780 and 13795 is 5.

GCF(13780,13795) = 5

We will now calculate the prime factors of 13780 and 13795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13780 and 13795.

How to find the GCF of 13780 and 13795?

We will first find the prime factorization of 13780 and 13795. After we will calculate the factors of 13780 and 13795 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 13795

Prime factors of 13795 are 5, 31, 89. Prime factorization of 13795 in exponential form is:

13795 = 5¹ × 31¹ × 89¹

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 13795

List of positive integer factors of 13795 that divides 13780 without a remainder.

1, 5, 31, 89, 155, 445, 2759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13780 and 13795. The biggest common factor number is the GCF number.
So the greatest common factor 13780 and 13795 is 5.

Also check out the Least Common Multiple of 13780 and 13795