What is the Greatest Common Factor of 8960 and 8975?

Greatest common factor (GCF) of 8960 and 8975 is 5.

GCF(8960,8975) = 5

We will now calculate the prime factors of 8960 and 8975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8960 and 8975.

How to find the GCF of 8960 and 8975?

We will first find the prime factorization of 8960 and 8975. After we will calculate the factors of 8960 and 8975 and find the biggest common factor number .

Step-1: Prime Factorization of 8960

Prime factors of 8960 are 2, 5, 7. Prime factorization of 8960 in exponential form is:

8960 = 2⁸ × 5¹ × 7¹

Step-2: Prime Factorization of 8975

Prime factors of 8975 are 5, 359. Prime factorization of 8975 in exponential form is:

8975 = 5² × 359¹

Step-3: Factors of 8960

List of positive integer factors of 8960 that divides 8960 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, 560, 640, 896, 1120, 1280, 1792, 2240, 4480

Step-4: Factors of 8975

List of positive integer factors of 8975 that divides 8960 without a remainder.

1, 5, 25, 359, 1795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8960 and 8975. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8975 is 5.

Also check out the Least Common Multiple of 8960 and 8975