What is the Greatest Common Factor of 12765 and 12780?

Greatest common factor (GCF) of 12765 and 12780 is 15.

GCF(12765,12780) = 15

We will now calculate the prime factors of 12765 and 12780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12765 and 12780.

How to find the GCF of 12765 and 12780?

We will first find the prime factorization of 12765 and 12780. After we will calculate the factors of 12765 and 12780 and find the biggest common factor number .

Step-1: Prime Factorization of 12765

Prime factors of 12765 are 3, 5, 23, 37. Prime factorization of 12765 in exponential form is:

12765 = 3¹ × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 12780

Prime factors of 12780 are 2, 3, 5, 71. Prime factorization of 12780 in exponential form is:

12780 = 2² × 3² × 5¹ × 71¹

Step-3: Factors of 12765

List of positive integer factors of 12765 that divides 12765 without a remainder.

1, 3, 5, 15, 23, 37, 69, 111, 115, 185, 345, 555, 851, 2553, 4255

Step-4: Factors of 12780

List of positive integer factors of 12780 that divides 12765 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 71, 90, 142, 180, 213, 284, 355, 426, 639, 710, 852, 1065, 1278, 1420, 2130, 2556, 3195, 4260, 6390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12765 and 12780. The biggest common factor number is the GCF number.
So the greatest common factor 12765 and 12780 is 15.

Also check out the Least Common Multiple of 12765 and 12780