What is the Greatest Common Factor of 17920 and 17925?

Greatest common factor (GCF) of 17920 and 17925 is 5.

GCF(17920,17925) = 5

We will now calculate the prime factors of 17920 and 17925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17920 and 17925.

How to find the GCF of 17920 and 17925?

We will first find the prime factorization of 17920 and 17925. After we will calculate the factors of 17920 and 17925 and find the biggest common factor number .

Step-1: Prime Factorization of 17920

Prime factors of 17920 are 2, 5, 7. Prime factorization of 17920 in exponential form is:

17920 = 2⁹ × 5¹ × 7¹

Step-2: Prime Factorization of 17925

Prime factors of 17925 are 3, 5, 239. Prime factorization of 17925 in exponential form is:

17925 = 3¹ × 5² × 239¹

Step-3: Factors of 17920

List of positive integer factors of 17920 that divides 17920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 512, 560, 640, 896, 1120, 1280, 1792, 2240, 2560, 3584, 4480, 8960

Step-4: Factors of 17925

List of positive integer factors of 17925 that divides 17920 without a remainder.

1, 3, 5, 15, 25, 75, 239, 717, 1195, 3585, 5975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17920 and 17925. The biggest common factor number is the GCF number.
So the greatest common factor 17920 and 17925 is 5.

Also check out the Least Common Multiple of 17920 and 17925