What is the Greatest Common Factor of 80638 and 80642?

Greatest common factor (GCF) of 80638 and 80642 is 2.

GCF(80638,80642) = 2

We will now calculate the prime factors of 80638 and 80642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80638 and 80642.

How to find the GCF of 80638 and 80642?

We will first find the prime factorization of 80638 and 80642. After we will calculate the factors of 80638 and 80642 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 80642

Prime factors of 80642 are 2, 61, 661. Prime factorization of 80642 in exponential form is:

80642 = 2¹ × 61¹ × 661¹

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 80642

List of positive integer factors of 80642 that divides 80638 without a remainder.

1, 2, 61, 122, 661, 1322, 40321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80638 and 80642. The biggest common factor number is the GCF number.
So the greatest common factor 80638 and 80642 is 2.

Also check out the Least Common Multiple of 80638 and 80642