What is the Greatest Common Factor of 946 and 954?

Greatest common factor (GCF) of 946 and 954 is 2.

GCF(946,954) = 2

We will now calculate the prime factors of 946 and 954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 946 and 954.

How to find the GCF of 946 and 954?

We will first find the prime factorization of 946 and 954. After we will calculate the factors of 946 and 954 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 954

Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:

954 = 2¹ × 3² × 53¹

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 954

List of positive integer factors of 954 that divides 946 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 946 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 954 is 2.

Also check out the Least Common Multiple of 946 and 954