What is the Greatest Common Factor of 32454 and 32474?

Greatest common factor (GCF) of 32454 and 32474 is 2.

GCF(32454,32474) = 2

We will now calculate the prime factors of 32454 and 32474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32454 and 32474.

How to find the GCF of 32454 and 32474?

We will first find the prime factorization of 32454 and 32474. After we will calculate the factors of 32454 and 32474 and find the biggest common factor number .

Step-1: Prime Factorization of 32454

Prime factors of 32454 are 2, 3, 601. Prime factorization of 32454 in exponential form is:

32454 = 2¹ × 3³ × 601¹

Step-2: 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-3: Factors of 32454

List of positive integer factors of 32454 that divides 32454 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 601, 1202, 1803, 3606, 5409, 10818, 16227

Step-4: Factors of 32474

List of positive integer factors of 32474 that divides 32454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32454 and 32474. The biggest common factor number is the GCF number.
So the greatest common factor 32454 and 32474 is 2.

Also check out the Least Common Multiple of 32454 and 32474