What is the Greatest Common Factor of 38832 and 38841?

Greatest common factor (GCF) of 38832 and 38841 is 3.

GCF(38832,38841) = 3

We will now calculate the prime factors of 38832 and 38841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38832 and 38841.

How to find the GCF of 38832 and 38841?

We will first find the prime factorization of 38832 and 38841. After we will calculate the factors of 38832 and 38841 and find the biggest common factor number .

Step-1: Prime Factorization of 38832

Prime factors of 38832 are 2, 3, 809. Prime factorization of 38832 in exponential form is:

38832 = 2⁴ × 3¹ × 809¹

Step-2: 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-3: Factors of 38832

List of positive integer factors of 38832 that divides 38832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 809, 1618, 2427, 3236, 4854, 6472, 9708, 12944, 19416

Step-4: Factors of 38841

List of positive integer factors of 38841 that divides 38832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38832 and 38841. The biggest common factor number is the GCF number.
So the greatest common factor 38832 and 38841 is 3.

Also check out the Least Common Multiple of 38832 and 38841