What is the Greatest Common Factor of 38841 and 38848?

Greatest common factor (GCF) of 38841 and 38848 is 1.

GCF(38841,38848) = 1

We will now calculate the prime factors of 38841 and 38848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38841 and 38848.

How to find the GCF of 38841 and 38848?

We will first find the prime factorization of 38841 and 38848. After we will calculate the factors of 38841 and 38848 and find the biggest common factor number .

Step-1: Prime Factorization of 38841

Prime factors of 38841 are 3, 11, 107. Prime factorization of 38841 in exponential form is:

38841 = 3¹ × 11² × 107¹

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 38841

List of positive integer factors of 38841 that divides 38841 without a remainder.

1, 3, 11, 33, 107, 121, 321, 363, 1177, 3531, 12947

Step-4: Factors of 38848

List of positive integer factors of 38848 that divides 38841 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 38841 and 38848. The biggest common factor number is the GCF number.
So the greatest common factor 38841 and 38848 is 1.

Also check out the Least Common Multiple of 38841 and 38848