What is the Greatest Common Factor of 12958 and 12970?

Greatest common factor (GCF) of 12958 and 12970 is 2.

GCF(12958,12970) = 2

We will now calculate the prime factors of 12958 and 12970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12958 and 12970.

How to find the GCF of 12958 and 12970?

We will first find the prime factorization of 12958 and 12970. After we will calculate the factors of 12958 and 12970 and find the biggest common factor number .

Step-1: Prime Factorization of 12958

Prime factors of 12958 are 2, 11, 19, 31. Prime factorization of 12958 in exponential form is:

12958 = 2¹ × 11¹ × 19¹ × 31¹

Step-2: 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-3: Factors of 12958

List of positive integer factors of 12958 that divides 12958 without a remainder.

1, 2, 11, 19, 22, 31, 38, 62, 209, 341, 418, 589, 682, 1178, 6479

Step-4: Factors of 12970

List of positive integer factors of 12970 that divides 12958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12958 and 12970. The biggest common factor number is the GCF number.
So the greatest common factor 12958 and 12970 is 2.

Also check out the Least Common Multiple of 12958 and 12970