What is the Greatest Common Factor of 38324 and 38336?

Greatest common factor (GCF) of 38324 and 38336 is 4.

GCF(38324,38336) = 4

We will now calculate the prime factors of 38324 and 38336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38324 and 38336.

How to find the GCF of 38324 and 38336?

We will first find the prime factorization of 38324 and 38336. After we will calculate the factors of 38324 and 38336 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38336

Prime factors of 38336 are 2, 599. Prime factorization of 38336 in exponential form is:

38336 = 2⁶ × 599¹

Step-3: Factors of 38324

List of positive integer factors of 38324 that divides 38324 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

Step-4: Factors of 38336

List of positive integer factors of 38336 that divides 38324 without a remainder.

1, 2, 4, 8, 16, 32, 64, 599, 1198, 2396, 4792, 9584, 19168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38324 and 38336. The biggest common factor number is the GCF number.
So the greatest common factor 38324 and 38336 is 4.

Also check out the Least Common Multiple of 38324 and 38336