What is the Greatest Common Factor of 32638 and 32642?

Greatest common factor (GCF) of 32638 and 32642 is 2.

GCF(32638,32642) = 2

We will now calculate the prime factors of 32638 and 32642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32638 and 32642.

How to find the GCF of 32638 and 32642?

We will first find the prime factorization of 32638 and 32642. After we will calculate the factors of 32638 and 32642 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 32642

Prime factors of 32642 are 2, 19, 859. Prime factorization of 32642 in exponential form is:

32642 = 2¹ × 19¹ × 859¹

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 32642

List of positive integer factors of 32642 that divides 32638 without a remainder.

1, 2, 19, 38, 859, 1718, 16321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32638 and 32642. The biggest common factor number is the GCF number.
So the greatest common factor 32638 and 32642 is 2.

Also check out the Least Common Multiple of 32638 and 32642