What is the Greatest Common Factor of 32474 and 32482?

Greatest common factor (GCF) of 32474 and 32482 is 2.

GCF(32474,32482) = 2

We will now calculate the prime factors of 32474 and 32482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32474 and 32482.

How to find the GCF of 32474 and 32482?

We will first find the prime factorization of 32474 and 32482. After we will calculate the factors of 32474 and 32482 and find the biggest common factor number .

Step-1: Prime Factorization of 32474

Prime factors of 32474 are 2, 13, 1249. Prime factorization of 32474 in exponential form is:

32474 = 2¹ × 13¹ × 1249¹

Step-2: Prime Factorization of 32482

Prime factors of 32482 are 2, 109, 149. Prime factorization of 32482 in exponential form is:

32482 = 2¹ × 109¹ × 149¹

Step-3: Factors of 32474

List of positive integer factors of 32474 that divides 32474 without a remainder.

1, 2, 13, 26, 1249, 2498, 16237

Step-4: Factors of 32482

List of positive integer factors of 32482 that divides 32474 without a remainder.

1, 2, 109, 149, 218, 298, 16241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32474 and 32482. The biggest common factor number is the GCF number.
So the greatest common factor 32474 and 32482 is 2.

Also check out the Least Common Multiple of 32474 and 32482