What is the Greatest Common Factor of 12954 and 12958?

Greatest common factor (GCF) of 12954 and 12958 is 2.

GCF(12954,12958) = 2

We will now calculate the prime factors of 12954 and 12958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12954 and 12958.

How to find the GCF of 12954 and 12958?

We will first find the prime factorization of 12954 and 12958. After we will calculate the factors of 12954 and 12958 and find the biggest common factor number .

Step-1: Prime Factorization of 12954

Prime factors of 12954 are 2, 3, 17, 127. Prime factorization of 12954 in exponential form is:

12954 = 2¹ × 3¹ × 17¹ × 127¹

Step-2: 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-3: Factors of 12954

List of positive integer factors of 12954 that divides 12954 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 127, 254, 381, 762, 2159, 4318, 6477

Step-4: Factors of 12958

List of positive integer factors of 12958 that divides 12954 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12954 and 12958. The biggest common factor number is the GCF number.
So the greatest common factor 12954 and 12958 is 2.

Also check out the Least Common Multiple of 12954 and 12958