What is the Greatest Common Factor of 82438 and 82458?

Greatest common factor (GCF) of 82438 and 82458 is 2.

GCF(82438,82458) = 2

We will now calculate the prime factors of 82438 and 82458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82438 and 82458.

How to find the GCF of 82438 and 82458?

We will first find the prime factorization of 82438 and 82458. After we will calculate the factors of 82438 and 82458 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 82458

Prime factors of 82458 are 2, 3, 509. Prime factorization of 82458 in exponential form is:

82458 = 2¹ × 3⁴ × 509¹

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 82458

List of positive integer factors of 82458 that divides 82438 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 509, 1018, 1527, 3054, 4581, 9162, 13743, 27486, 41229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82438 and 82458. The biggest common factor number is the GCF number.
So the greatest common factor 82438 and 82458 is 2.

Also check out the Least Common Multiple of 82438 and 82458