What is the Greatest Common Factor of 38450 and 38464?

Greatest common factor (GCF) of 38450 and 38464 is 2.

GCF(38450,38464) = 2

We will now calculate the prime factors of 38450 and 38464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38450 and 38464.

How to find the GCF of 38450 and 38464?

We will first find the prime factorization of 38450 and 38464. After we will calculate the factors of 38450 and 38464 and find the biggest common factor number .

Step-1: Prime Factorization of 38450

Prime factors of 38450 are 2, 5, 769. Prime factorization of 38450 in exponential form is:

38450 = 2¹ × 5² × 769¹

Step-2: Prime Factorization of 38464

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

38464 = 2⁶ × 601¹

Step-3: Factors of 38450

List of positive integer factors of 38450 that divides 38450 without a remainder.

1, 2, 5, 10, 25, 50, 769, 1538, 3845, 7690, 19225

Step-4: Factors of 38464

List of positive integer factors of 38464 that divides 38450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38450 and 38464. The biggest common factor number is the GCF number.
So the greatest common factor 38450 and 38464 is 2.

Also check out the Least Common Multiple of 38450 and 38464