What is the Greatest Common Factor of 82438 and 82456?

Greatest common factor (GCF) of 82438 and 82456 is 2.

GCF(82438,82456) = 2

We will now calculate the prime factors of 82438 and 82456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82438 and 82456.

How to find the GCF of 82438 and 82456?

We will first find the prime factorization of 82438 and 82456. After we will calculate the factors of 82438 and 82456 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 82456

Prime factors of 82456 are 2, 11, 937. Prime factorization of 82456 in exponential form is:

82456 = 2³ × 11¹ × 937¹

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 82456

List of positive integer factors of 82456 that divides 82438 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 937, 1874, 3748, 7496, 10307, 20614, 41228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82438 and 82456. The biggest common factor number is the GCF number.
So the greatest common factor 82438 and 82456 is 2.

Also check out the Least Common Multiple of 82438 and 82456