What is the Greatest Common Factor of 946 and 960?

Greatest common factor (GCF) of 946 and 960 is 2.

GCF(946,960) = 2

We will now calculate the prime factors of 946 and 960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 946 and 960.

How to find the GCF of 946 and 960?

We will first find the prime factorization of 946 and 960. After we will calculate the factors of 946 and 960 and find the biggest common factor number .

Step-1: Prime Factorization of 946

Prime factors of 946 are 2, 11, 43. Prime factorization of 946 in exponential form is:

946 = 2¹ × 11¹ × 43¹

Step-2: Prime Factorization of 960

Prime factors of 960 are 2, 3, 5. Prime factorization of 960 in exponential form is:

960 = 2⁶ × 3¹ × 5¹

Step-3: Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473

Step-4: Factors of 960

List of positive integer factors of 960 that divides 946 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 946 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 960 is 2.

Also check out the Least Common Multiple of 946 and 960