What is the Greatest Common Factor of 38458 and 38468?

Greatest common factor (GCF) of 38458 and 38468 is 2.

GCF(38458,38468) = 2

We will now calculate the prime factors of 38458 and 38468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38458 and 38468.

How to find the GCF of 38458 and 38468?

We will first find the prime factorization of 38458 and 38468. After we will calculate the factors of 38458 and 38468 and find the biggest common factor number .

Step-1: Prime Factorization of 38458

Prime factors of 38458 are 2, 7, 41, 67. Prime factorization of 38458 in exponential form is:

38458 = 2¹ × 7¹ × 41¹ × 67¹

Step-2: Prime Factorization of 38468

Prime factors of 38468 are 2, 59, 163. Prime factorization of 38468 in exponential form is:

38468 = 2² × 59¹ × 163¹

Step-3: Factors of 38458

List of positive integer factors of 38458 that divides 38458 without a remainder.

1, 2, 7, 14, 41, 67, 82, 134, 287, 469, 574, 938, 2747, 5494, 19229

Step-4: Factors of 38468

List of positive integer factors of 38468 that divides 38458 without a remainder.

1, 2, 4, 59, 118, 163, 236, 326, 652, 9617, 19234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38458 and 38468. The biggest common factor number is the GCF number.
So the greatest common factor 38458 and 38468 is 2.

Also check out the Least Common Multiple of 38458 and 38468