What is the Greatest Common Factor of 10438 and 10458?

Greatest common factor (GCF) of 10438 and 10458 is 2.

GCF(10438,10458) = 2

We will now calculate the prime factors of 10438 and 10458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10438 and 10458.

How to find the GCF of 10438 and 10458?

We will first find the prime factorization of 10438 and 10458. After we will calculate the factors of 10438 and 10458 and find the biggest common factor number .

Step-1: Prime Factorization of 10438

Prime factors of 10438 are 2, 17, 307. Prime factorization of 10438 in exponential form is:

10438 = 2¹ × 17¹ × 307¹

Step-2: Prime Factorization of 10458

Prime factors of 10458 are 2, 3, 7, 83. Prime factorization of 10458 in exponential form is:

10458 = 2¹ × 3² × 7¹ × 83¹

Step-3: Factors of 10438

List of positive integer factors of 10438 that divides 10438 without a remainder.

1, 2, 17, 34, 307, 614, 5219

Step-4: Factors of 10458

List of positive integer factors of 10458 that divides 10438 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 83, 126, 166, 249, 498, 581, 747, 1162, 1494, 1743, 3486, 5229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10438 and 10458. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10458 is 2.

Also check out the Least Common Multiple of 10438 and 10458