What is the Greatest Common Factor of 38814 and 38832?

Greatest common factor (GCF) of 38814 and 38832 is 6.

GCF(38814,38832) = 6

We will now calculate the prime factors of 38814 and 38832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38814 and 38832.

How to find the GCF of 38814 and 38832?

We will first find the prime factorization of 38814 and 38832. After we will calculate the factors of 38814 and 38832 and find the biggest common factor number .

Step-1: Prime Factorization of 38814

Prime factors of 38814 are 2, 3, 6469. Prime factorization of 38814 in exponential form is:

38814 = 2¹ × 3¹ × 6469¹

Step-2: 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-3: Factors of 38814

List of positive integer factors of 38814 that divides 38814 without a remainder.

1, 2, 3, 6, 6469, 12938, 19407

Step-4: Factors of 38832

List of positive integer factors of 38832 that divides 38814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38814 and 38832. The biggest common factor number is the GCF number.
So the greatest common factor 38814 and 38832 is 6.

Also check out the Least Common Multiple of 38814 and 38832