What is the Greatest Common Factor of 32392 and 32410?

Greatest common factor (GCF) of 32392 and 32410 is 2.

GCF(32392,32410) = 2

We will now calculate the prime factors of 32392 and 32410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32392 and 32410.

How to find the GCF of 32392 and 32410?

We will first find the prime factorization of 32392 and 32410. After we will calculate the factors of 32392 and 32410 and find the biggest common factor number .

Step-1: Prime Factorization of 32392

Prime factors of 32392 are 2, 4049. Prime factorization of 32392 in exponential form is:

32392 = 2³ × 4049¹

Step-2: 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-3: Factors of 32392

List of positive integer factors of 32392 that divides 32392 without a remainder.

1, 2, 4, 8, 4049, 8098, 16196

Step-4: Factors of 32410

List of positive integer factors of 32410 that divides 32392 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32392 and 32410. The biggest common factor number is the GCF number.
So the greatest common factor 32392 and 32410 is 2.

Also check out the Least Common Multiple of 32392 and 32410