What is the Greatest Common Factor of 32431 and 32445?

Greatest common factor (GCF) of 32431 and 32445 is 7.

GCF(32431,32445) = 7

We will now calculate the prime factors of 32431 and 32445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32431 and 32445.

How to find the GCF of 32431 and 32445?

We will first find the prime factorization of 32431 and 32445. After we will calculate the factors of 32431 and 32445 and find the biggest common factor number .

Step-1: Prime Factorization of 32431

Prime factors of 32431 are 7, 41, 113. Prime factorization of 32431 in exponential form is:

32431 = 7¹ × 41¹ × 113¹

Step-2: 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-3: Factors of 32431

List of positive integer factors of 32431 that divides 32431 without a remainder.

1, 7, 41, 113, 287, 791, 4633

Step-4: Factors of 32445

List of positive integer factors of 32445 that divides 32431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32431 and 32445. The biggest common factor number is the GCF number.
So the greatest common factor 32431 and 32445 is 7.

Also check out the Least Common Multiple of 32431 and 32445