What is the Greatest Common Factor of 38834 and 38848?

Greatest common factor (GCF) of 38834 and 38848 is 2.

GCF(38834,38848) = 2

We will now calculate the prime factors of 38834 and 38848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38834 and 38848.

How to find the GCF of 38834 and 38848?

We will first find the prime factorization of 38834 and 38848. After we will calculate the factors of 38834 and 38848 and find the biggest common factor number .

Step-1: Prime Factorization of 38834

Prime factors of 38834 are 2, 19417. Prime factorization of 38834 in exponential form is:

38834 = 2¹ × 19417¹

Step-2: Prime Factorization of 38848

Prime factors of 38848 are 2, 607. Prime factorization of 38848 in exponential form is:

38848 = 2⁶ × 607¹

Step-3: Factors of 38834

List of positive integer factors of 38834 that divides 38834 without a remainder.

1, 2, 19417

Step-4: Factors of 38848

List of positive integer factors of 38848 that divides 38834 without a remainder.

1, 2, 4, 8, 16, 32, 64, 607, 1214, 2428, 4856, 9712, 19424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38834 and 38848. The biggest common factor number is the GCF number.
So the greatest common factor 38834 and 38848 is 2.

Also check out the Least Common Multiple of 38834 and 38848