What is the Greatest Common Factor of 12978 and 12993?

Greatest common factor (GCF) of 12978 and 12993 is 3.

GCF(12978,12993) = 3

We will now calculate the prime factors of 12978 and 12993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12978 and 12993.

How to find the GCF of 12978 and 12993?

We will first find the prime factorization of 12978 and 12993. After we will calculate the factors of 12978 and 12993 and find the biggest common factor number .

Step-1: Prime Factorization of 12978

Prime factors of 12978 are 2, 3, 7, 103. Prime factorization of 12978 in exponential form is:

12978 = 2¹ × 3² × 7¹ × 103¹

Step-2: Prime Factorization of 12993

Prime factors of 12993 are 3, 61, 71. Prime factorization of 12993 in exponential form is:

12993 = 3¹ × 61¹ × 71¹

Step-3: Factors of 12978

List of positive integer factors of 12978 that divides 12978 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 103, 126, 206, 309, 618, 721, 927, 1442, 1854, 2163, 4326, 6489

Step-4: Factors of 12993

List of positive integer factors of 12993 that divides 12978 without a remainder.

1, 3, 61, 71, 183, 213, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12978 and 12993. The biggest common factor number is the GCF number.
So the greatest common factor 12978 and 12993 is 3.

Also check out the Least Common Multiple of 12978 and 12993