What is the Greatest Common Factor of 80638 and 80644?

Greatest common factor (GCF) of 80638 and 80644 is 2.

GCF(80638,80644) = 2

We will now calculate the prime factors of 80638 and 80644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80638 and 80644.

How to find the GCF of 80638 and 80644?

We will first find the prime factorization of 80638 and 80644. After we will calculate the factors of 80638 and 80644 and find the biggest common factor number .

Step-1: Prime Factorization of 80638

Prime factors of 80638 are 2, 23, 1753. Prime factorization of 80638 in exponential form is:

80638 = 2¹ × 23¹ × 1753¹

Step-2: Prime Factorization of 80644

Prime factors of 80644 are 2, 20161. Prime factorization of 80644 in exponential form is:

80644 = 2² × 20161¹

Step-3: Factors of 80638

List of positive integer factors of 80638 that divides 80638 without a remainder.

1, 2, 23, 46, 1753, 3506, 40319

Step-4: Factors of 80644

List of positive integer factors of 80644 that divides 80638 without a remainder.

1, 2, 4, 20161, 40322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80638 and 80644. The biggest common factor number is the GCF number.
So the greatest common factor 80638 and 80644 is 2.

Also check out the Least Common Multiple of 80638 and 80644