What is the Greatest Common Factor of 15780 and 15789?

Greatest common factor (GCF) of 15780 and 15789 is 3.

GCF(15780,15789) = 3

We will now calculate the prime factors of 15780 and 15789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15780 and 15789.

How to find the GCF of 15780 and 15789?

We will first find the prime factorization of 15780 and 15789. After we will calculate the factors of 15780 and 15789 and find the biggest common factor number .

Step-1: Prime Factorization of 15780

Prime factors of 15780 are 2, 3, 5, 263. Prime factorization of 15780 in exponential form is:

15780 = 2² × 3¹ × 5¹ × 263¹

Step-2: Prime Factorization of 15789

Prime factors of 15789 are 3, 19, 277. Prime factorization of 15789 in exponential form is:

15789 = 3¹ × 19¹ × 277¹

Step-3: Factors of 15780

List of positive integer factors of 15780 that divides 15780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 263, 526, 789, 1052, 1315, 1578, 2630, 3156, 3945, 5260, 7890

Step-4: Factors of 15789

List of positive integer factors of 15789 that divides 15780 without a remainder.

1, 3, 19, 57, 277, 831, 5263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15780 and 15789. The biggest common factor number is the GCF number.
So the greatest common factor 15780 and 15789 is 3.

Also check out the Least Common Multiple of 15780 and 15789