What is the Greatest Common Factor of 32445 and 32457?

Greatest common factor (GCF) of 32445 and 32457 is 3.

GCF(32445,32457) = 3

We will now calculate the prime factors of 32445 and 32457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32445 and 32457.

How to find the GCF of 32445 and 32457?

We will first find the prime factorization of 32445 and 32457. After we will calculate the factors of 32445 and 32457 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 32457

Prime factors of 32457 are 3, 31, 349. Prime factorization of 32457 in exponential form is:

32457 = 3¹ × 31¹ × 349¹

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 32457

List of positive integer factors of 32457 that divides 32445 without a remainder.

1, 3, 31, 93, 349, 1047, 10819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32445 and 32457. The biggest common factor number is the GCF number.
So the greatest common factor 32445 and 32457 is 3.

Also check out the Least Common Multiple of 32445 and 32457