What is the Greatest Common Factor of 945 and 954?

Greatest common factor (GCF) of 945 and 954 is 9.

GCF(945,954) = 9

We will now calculate the prime factors of 945 and 954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 945 and 954.

How to find the GCF of 945 and 954?

We will first find the prime factorization of 945 and 954. After we will calculate the factors of 945 and 954 and find the biggest common factor number .

Step-1: Prime Factorization of 945

Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:

945 = 3³ × 5¹ × 7¹

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 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315

Step-4: Factors of 954

List of positive integer factors of 954 that divides 945 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 945 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 954 is 9.

Also check out the Least Common Multiple of 945 and 954