What is the Greatest Common Factor of 38464 and 38471?

Greatest common factor (GCF) of 38464 and 38471 is 1.

GCF(38464,38471) = 1

We will now calculate the prime factors of 38464 and 38471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38464 and 38471.

How to find the GCF of 38464 and 38471?

We will first find the prime factorization of 38464 and 38471. After we will calculate the factors of 38464 and 38471 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 38471

Prime factors of 38471 are 17, 31, 73. Prime factorization of 38471 in exponential form is:

38471 = 17¹ × 31¹ × 73¹

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 38471

List of positive integer factors of 38471 that divides 38464 without a remainder.

1, 17, 31, 73, 527, 1241, 2263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38464 and 38471. The biggest common factor number is the GCF number.
So the greatest common factor 38464 and 38471 is 1.

Also check out the Least Common Multiple of 38464 and 38471