What is the Greatest Common Factor of 38313 and 38324?

Greatest common factor (GCF) of 38313 and 38324 is 11.

GCF(38313,38324) = 11

We will now calculate the prime factors of 38313 and 38324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38313 and 38324.

How to find the GCF of 38313 and 38324?

We will first find the prime factorization of 38313 and 38324. After we will calculate the factors of 38313 and 38324 and find the biggest common factor number .

Step-1: Prime Factorization of 38313

Prime factors of 38313 are 3, 11, 43. Prime factorization of 38313 in exponential form is:

38313 = 3⁴ × 11¹ × 43¹

Step-2: Prime Factorization of 38324

Prime factors of 38324 are 2, 11, 13, 67. Prime factorization of 38324 in exponential form is:

38324 = 2² × 11¹ × 13¹ × 67¹

Step-3: Factors of 38313

List of positive integer factors of 38313 that divides 38313 without a remainder.

1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771

Step-4: Factors of 38324

List of positive integer factors of 38324 that divides 38313 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 67, 134, 143, 268, 286, 572, 737, 871, 1474, 1742, 2948, 3484, 9581, 19162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38313 and 38324. The biggest common factor number is the GCF number.
So the greatest common factor 38313 and 38324 is 11.

Also check out the Least Common Multiple of 38313 and 38324