What is the Greatest Common Factor of 12970 and 12988?

Greatest common factor (GCF) of 12970 and 12988 is 2.

GCF(12970,12988) = 2

We will now calculate the prime factors of 12970 and 12988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12970 and 12988.

How to find the GCF of 12970 and 12988?

We will first find the prime factorization of 12970 and 12988. After we will calculate the factors of 12970 and 12988 and find the biggest common factor number .

Step-1: Prime Factorization of 12970

Prime factors of 12970 are 2, 5, 1297. Prime factorization of 12970 in exponential form is:

12970 = 2¹ × 5¹ × 1297¹

Step-2: Prime Factorization of 12988

Prime factors of 12988 are 2, 17, 191. Prime factorization of 12988 in exponential form is:

12988 = 2² × 17¹ × 191¹

Step-3: Factors of 12970

List of positive integer factors of 12970 that divides 12970 without a remainder.

1, 2, 5, 10, 1297, 2594, 6485

Step-4: Factors of 12988

List of positive integer factors of 12988 that divides 12970 without a remainder.

1, 2, 4, 17, 34, 68, 191, 382, 764, 3247, 6494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12970 and 12988. The biggest common factor number is the GCF number.
So the greatest common factor 12970 and 12988 is 2.

Also check out the Least Common Multiple of 12970 and 12988