What is the Greatest Common Factor of 12351 and 12360?

Greatest common factor (GCF) of 12351 and 12360 is 3.

GCF(12351,12360) = 3

We will now calculate the prime factors of 12351 and 12360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12351 and 12360.

How to find the GCF of 12351 and 12360?

We will first find the prime factorization of 12351 and 12360. After we will calculate the factors of 12351 and 12360 and find the biggest common factor number .

Step-1: Prime Factorization of 12351

Prime factors of 12351 are 3, 23, 179. Prime factorization of 12351 in exponential form is:

12351 = 3¹ × 23¹ × 179¹

Step-2: Prime Factorization of 12360

Prime factors of 12360 are 2, 3, 5, 103. Prime factorization of 12360 in exponential form is:

12360 = 2³ × 3¹ × 5¹ × 103¹

Step-3: Factors of 12351

List of positive integer factors of 12351 that divides 12351 without a remainder.

1, 3, 23, 69, 179, 537, 4117

Step-4: Factors of 12360

List of positive integer factors of 12360 that divides 12351 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 103, 120, 206, 309, 412, 515, 618, 824, 1030, 1236, 1545, 2060, 2472, 3090, 4120, 6180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12351 and 12360. The biggest common factor number is the GCF number.
So the greatest common factor 12351 and 12360 is 3.

Also check out the Least Common Multiple of 12351 and 12360