What is the Greatest Common Factor of 38401 and 38412?

Greatest common factor (GCF) of 38401 and 38412 is 11.

GCF(38401,38412) = 11

We will now calculate the prime factors of 38401 and 38412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38401 and 38412.

How to find the GCF of 38401 and 38412?

We will first find the prime factorization of 38401 and 38412. After we will calculate the factors of 38401 and 38412 and find the biggest common factor number .

Step-1: Prime Factorization of 38401

Prime factors of 38401 are 11, 3491. Prime factorization of 38401 in exponential form is:

38401 = 11¹ × 3491¹

Step-2: Prime Factorization of 38412

Prime factors of 38412 are 2, 3, 11, 97. Prime factorization of 38412 in exponential form is:

38412 = 2² × 3² × 11¹ × 97¹

Step-3: Factors of 38401

List of positive integer factors of 38401 that divides 38401 without a remainder.

1, 11, 3491

Step-4: Factors of 38412

List of positive integer factors of 38412 that divides 38401 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 97, 99, 132, 194, 198, 291, 388, 396, 582, 873, 1067, 1164, 1746, 2134, 3201, 3492, 4268, 6402, 9603, 12804, 19206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38401 and 38412. The biggest common factor number is the GCF number.
So the greatest common factor 38401 and 38412 is 11.

Also check out the Least Common Multiple of 38401 and 38412