What is the Greatest Common Factor of 8940 and 8960?

Greatest common factor (GCF) of 8940 and 8960 is 20.

GCF(8940,8960) = 20

We will now calculate the prime factors of 8940 and 8960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8940 and 8960.

How to find the GCF of 8940 and 8960?

We will first find the prime factorization of 8940 and 8960. After we will calculate the factors of 8940 and 8960 and find the biggest common factor number .

Step-1: Prime Factorization of 8940

Prime factors of 8940 are 2, 3, 5, 149. Prime factorization of 8940 in exponential form is:

8940 = 2² × 3¹ × 5¹ × 149¹

Step-2: 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-3: Factors of 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470

Step-4: Factors of 8960

List of positive integer factors of 8960 that divides 8940 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8940 and 8960. The biggest common factor number is the GCF number.
So the greatest common factor 8940 and 8960 is 20.

Also check out the Least Common Multiple of 8940 and 8960