What is the Greatest Common Factor of 32445 and 32454?

Greatest common factor (GCF) of 32445 and 32454 is 9.

GCF(32445,32454) = 9

We will now calculate the prime factors of 32445 and 32454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32445 and 32454.

How to find the GCF of 32445 and 32454?

We will first find the prime factorization of 32445 and 32454. After we will calculate the factors of 32445 and 32454 and find the biggest common factor number .

Step-1: Prime Factorization of 32445

Prime factors of 32445 are 3, 5, 7, 103. Prime factorization of 32445 in exponential form is:

32445 = 3² × 5¹ × 7¹ × 103¹

Step-2: 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-3: Factors of 32445

List of positive integer factors of 32445 that divides 32445 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 103, 105, 309, 315, 515, 721, 927, 1545, 2163, 3605, 4635, 6489, 10815

Step-4: Factors of 32454

List of positive integer factors of 32454 that divides 32445 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32445 and 32454. The biggest common factor number is the GCF number.
So the greatest common factor 32445 and 32454 is 9.

Also check out the Least Common Multiple of 32445 and 32454