What is the Greatest Common Factor of 38320 and 38325?

Greatest common factor (GCF) of 38320 and 38325 is 5.

GCF(38320,38325) = 5

We will now calculate the prime factors of 38320 and 38325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38320 and 38325.

How to find the GCF of 38320 and 38325?

We will first find the prime factorization of 38320 and 38325. After we will calculate the factors of 38320 and 38325 and find the biggest common factor number .

Step-1: Prime Factorization of 38320

Prime factors of 38320 are 2, 5, 479. Prime factorization of 38320 in exponential form is:

38320 = 2⁴ × 5¹ × 479¹

Step-2: Prime Factorization of 38325

Prime factors of 38325 are 3, 5, 7, 73. Prime factorization of 38325 in exponential form is:

38325 = 3¹ × 5² × 7¹ × 73¹

Step-3: Factors of 38320

List of positive integer factors of 38320 that divides 38320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 479, 958, 1916, 2395, 3832, 4790, 7664, 9580, 19160

Step-4: Factors of 38325

List of positive integer factors of 38325 that divides 38320 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 73, 75, 105, 175, 219, 365, 511, 525, 1095, 1533, 1825, 2555, 5475, 7665, 12775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38320 and 38325. The biggest common factor number is the GCF number.
So the greatest common factor 38320 and 38325 is 5.

Also check out the Least Common Multiple of 38320 and 38325