What is the Greatest Common Factor of 12684 and 12693?

Greatest common factor (GCF) of 12684 and 12693 is 3.

GCF(12684,12693) = 3

We will now calculate the prime factors of 12684 and 12693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12684 and 12693.

How to find the GCF of 12684 and 12693?

We will first find the prime factorization of 12684 and 12693. After we will calculate the factors of 12684 and 12693 and find the biggest common factor number .

Step-1: Prime Factorization of 12684

Prime factors of 12684 are 2, 3, 7, 151. Prime factorization of 12684 in exponential form is:

12684 = 2² × 3¹ × 7¹ × 151¹

Step-2: Prime Factorization of 12693

Prime factors of 12693 are 3, 4231. Prime factorization of 12693 in exponential form is:

12693 = 3¹ × 4231¹

Step-3: Factors of 12684

List of positive integer factors of 12684 that divides 12684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 151, 302, 453, 604, 906, 1057, 1812, 2114, 3171, 4228, 6342

Step-4: Factors of 12693

List of positive integer factors of 12693 that divides 12684 without a remainder.

1, 3, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12684 and 12693. The biggest common factor number is the GCF number.
So the greatest common factor 12684 and 12693 is 3.

Also check out the Least Common Multiple of 12684 and 12693