What is the Greatest Common Factor of 32458 and 32462?

Greatest common factor (GCF) of 32458 and 32462 is 2.

GCF(32458,32462) = 2

We will now calculate the prime factors of 32458 and 32462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32458 and 32462.

How to find the GCF of 32458 and 32462?

We will first find the prime factorization of 32458 and 32462. After we will calculate the factors of 32458 and 32462 and find the biggest common factor number .

Step-1: Prime Factorization of 32458

Prime factors of 32458 are 2, 16229. Prime factorization of 32458 in exponential form is:

32458 = 2¹ × 16229¹

Step-2: Prime Factorization of 32462

Prime factors of 32462 are 2, 16231. Prime factorization of 32462 in exponential form is:

32462 = 2¹ × 16231¹

Step-3: Factors of 32458

List of positive integer factors of 32458 that divides 32458 without a remainder.

1, 2, 16229

Step-4: Factors of 32462

List of positive integer factors of 32462 that divides 32458 without a remainder.

1, 2, 16231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32458 and 32462. The biggest common factor number is the GCF number.
So the greatest common factor 32458 and 32462 is 2.

Also check out the Least Common Multiple of 32458 and 32462