What is the Greatest Common Factor of 32410 and 32425?

Greatest common factor (GCF) of 32410 and 32425 is 5.

GCF(32410,32425) = 5

We will now calculate the prime factors of 32410 and 32425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32410 and 32425.

How to find the GCF of 32410 and 32425?

We will first find the prime factorization of 32410 and 32425. After we will calculate the factors of 32410 and 32425 and find the biggest common factor number .

Step-1: Prime Factorization of 32410

Prime factors of 32410 are 2, 5, 7, 463. Prime factorization of 32410 in exponential form is:

32410 = 2¹ × 5¹ × 7¹ × 463¹

Step-2: Prime Factorization of 32425

Prime factors of 32425 are 5, 1297. Prime factorization of 32425 in exponential form is:

32425 = 5² × 1297¹

Step-3: Factors of 32410

List of positive integer factors of 32410 that divides 32410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 463, 926, 2315, 3241, 4630, 6482, 16205

Step-4: Factors of 32425

List of positive integer factors of 32425 that divides 32410 without a remainder.

1, 5, 25, 1297, 6485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32410 and 32425. The biggest common factor number is the GCF number.
So the greatest common factor 32410 and 32425 is 5.

Also check out the Least Common Multiple of 32410 and 32425