What is the Greatest Common Factor of 8946 and 8960?

Greatest common factor (GCF) of 8946 and 8960 is 14.

GCF(8946,8960) = 14

We will now calculate the prime factors of 8946 and 8960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8946 and 8960.

How to find the GCF of 8946 and 8960?

We will first find the prime factorization of 8946 and 8960. After we will calculate the factors of 8946 and 8960 and find the biggest common factor number .

Step-1: Prime Factorization of 8946

Prime factors of 8946 are 2, 3, 7, 71. Prime factorization of 8946 in exponential form is:

8946 = 2¹ × 3² × 7¹ × 71¹

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 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473

Step-4: Factors of 8960

List of positive integer factors of 8960 that divides 8946 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 8946 and 8960. The biggest common factor number is the GCF number.
So the greatest common factor 8946 and 8960 is 14.

Also check out the Least Common Multiple of 8946 and 8960