What is the Greatest Common Factor of 38458 and 38462?

Greatest common factor (GCF) of 38458 and 38462 is 2.

GCF(38458,38462) = 2

We will now calculate the prime factors of 38458 and 38462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38458 and 38462.

How to find the GCF of 38458 and 38462?

We will first find the prime factorization of 38458 and 38462. After we will calculate the factors of 38458 and 38462 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 38462

Prime factors of 38462 are 2, 19231. Prime factorization of 38462 in exponential form is:

38462 = 2¹ × 19231¹

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 38462

List of positive integer factors of 38462 that divides 38458 without a remainder.

1, 2, 19231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38458 and 38462. The biggest common factor number is the GCF number.
So the greatest common factor 38458 and 38462 is 2.

Also check out the Least Common Multiple of 38458 and 38462