What is the Greatest Common Factor of 32454 and 32466?

Greatest common factor (GCF) of 32454 and 32466 is 6.

GCF(32454,32466) = 6

We will now calculate the prime factors of 32454 and 32466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32454 and 32466.

How to find the GCF of 32454 and 32466?

We will first find the prime factorization of 32454 and 32466. After we will calculate the factors of 32454 and 32466 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 32466

Prime factors of 32466 are 2, 3, 7, 773. Prime factorization of 32466 in exponential form is:

32466 = 2¹ × 3¹ × 7¹ × 773¹

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 32466

List of positive integer factors of 32466 that divides 32454 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 773, 1546, 2319, 4638, 5411, 10822, 16233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32454 and 32466. The biggest common factor number is the GCF number.
So the greatest common factor 32454 and 32466 is 6.

Also check out the Least Common Multiple of 32454 and 32466