What is the Greatest Common Factor of 8960 and 8971?

Greatest common factor (GCF) of 8960 and 8971 is 1.

GCF(8960,8971) = 1

We will now calculate the prime factors of 8960 and 8971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8960 and 8971.

How to find the GCF of 8960 and 8971?

We will first find the prime factorization of 8960 and 8971. After we will calculate the factors of 8960 and 8971 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 8971

Prime factors of 8971 are 8971. Prime factorization of 8971 in exponential form is:

8971 = 8971¹

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 8971

List of positive integer factors of 8971 that divides 8960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8960 and 8971. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8971 is 1.

Also check out the Least Common Multiple of 8960 and 8971