What is the Greatest Common Factor of 38464 and 38481?

Greatest common factor (GCF) of 38464 and 38481 is 1.

GCF(38464,38481) = 1

We will now calculate the prime factors of 38464 and 38481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38464 and 38481.

How to find the GCF of 38464 and 38481?

We will first find the prime factorization of 38464 and 38481. After we will calculate the factors of 38464 and 38481 and find the biggest common factor number .

Step-1: Prime Factorization of 38464

Prime factors of 38464 are 2, 601. Prime factorization of 38464 in exponential form is:

38464 = 2⁶ × 601¹

Step-2: Prime Factorization of 38481

Prime factors of 38481 are 3, 101, 127. Prime factorization of 38481 in exponential form is:

38481 = 3¹ × 101¹ × 127¹

Step-3: Factors of 38464

List of positive integer factors of 38464 that divides 38464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 601, 1202, 2404, 4808, 9616, 19232

Step-4: Factors of 38481

List of positive integer factors of 38481 that divides 38464 without a remainder.

1, 3, 101, 127, 303, 381, 12827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38464 and 38481. The biggest common factor number is the GCF number.
So the greatest common factor 38464 and 38481 is 1.

Also check out the Least Common Multiple of 38464 and 38481