What is the Greatest Common Factor of 82438 and 82442?

Greatest common factor (GCF) of 82438 and 82442 is 2.

GCF(82438,82442) = 2

We will now calculate the prime factors of 82438 and 82442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82438 and 82442.

How to find the GCF of 82438 and 82442?

We will first find the prime factorization of 82438 and 82442. After we will calculate the factors of 82438 and 82442 and find the biggest common factor number .

Step-1: Prime Factorization of 82438

Prime factors of 82438 are 2, 47, 877. Prime factorization of 82438 in exponential form is:

82438 = 2¹ × 47¹ × 877¹

Step-2: Prime Factorization of 82442

Prime factors of 82442 are 2, 41221. Prime factorization of 82442 in exponential form is:

82442 = 2¹ × 41221¹

Step-3: Factors of 82438

List of positive integer factors of 82438 that divides 82438 without a remainder.

1, 2, 47, 94, 877, 1754, 41219

Step-4: Factors of 82442

List of positive integer factors of 82442 that divides 82438 without a remainder.

1, 2, 41221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82438 and 82442. The biggest common factor number is the GCF number.
So the greatest common factor 82438 and 82442 is 2.

Also check out the Least Common Multiple of 82438 and 82442