What is the Greatest Common Factor of 32638 and 32650?

Greatest common factor (GCF) of 32638 and 32650 is 2.

GCF(32638,32650) = 2

We will now calculate the prime factors of 32638 and 32650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32638 and 32650.

How to find the GCF of 32638 and 32650?

We will first find the prime factorization of 32638 and 32650. After we will calculate the factors of 32638 and 32650 and find the biggest common factor number .

Step-1: Prime Factorization of 32638

Prime factors of 32638 are 2, 16319. Prime factorization of 32638 in exponential form is:

32638 = 2¹ × 16319¹

Step-2: Prime Factorization of 32650

Prime factors of 32650 are 2, 5, 653. Prime factorization of 32650 in exponential form is:

32650 = 2¹ × 5² × 653¹

Step-3: Factors of 32638

List of positive integer factors of 32638 that divides 32638 without a remainder.

1, 2, 16319

Step-4: Factors of 32650

List of positive integer factors of 32650 that divides 32638 without a remainder.

1, 2, 5, 10, 25, 50, 653, 1306, 3265, 6530, 16325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32638 and 32650. The biggest common factor number is the GCF number.
So the greatest common factor 32638 and 32650 is 2.

Also check out the Least Common Multiple of 32638 and 32650