What is the Greatest Common Factor of 12458 and 12467?

Greatest common factor (GCF) of 12458 and 12467 is 1.

GCF(12458,12467) = 1

We will now calculate the prime factors of 12458 and 12467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12458 and 12467.

How to find the GCF of 12458 and 12467?

We will first find the prime factorization of 12458 and 12467. After we will calculate the factors of 12458 and 12467 and find the biggest common factor number .

Step-1: Prime Factorization of 12458

Prime factors of 12458 are 2, 6229. Prime factorization of 12458 in exponential form is:

12458 = 2¹ × 6229¹

Step-2: Prime Factorization of 12467

Prime factors of 12467 are 7, 13, 137. Prime factorization of 12467 in exponential form is:

12467 = 7¹ × 13¹ × 137¹

Step-3: Factors of 12458

List of positive integer factors of 12458 that divides 12458 without a remainder.

1, 2, 6229

Step-4: Factors of 12467

List of positive integer factors of 12467 that divides 12458 without a remainder.

1, 7, 13, 91, 137, 959, 1781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12458 and 12467. The biggest common factor number is the GCF number.
So the greatest common factor 12458 and 12467 is 1.

Also check out the Least Common Multiple of 12458 and 12467