What is the Greatest Common Factor of 936 and 945?

Greatest common factor (GCF) of 936 and 945 is 9.

GCF(936,945) = 9

We will now calculate the prime factors of 936 and 945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 936 and 945.

How to find the GCF of 936 and 945?

We will first find the prime factorization of 936 and 945. After we will calculate the factors of 936 and 945 and find the biggest common factor number .

Step-1: Prime Factorization of 936

Prime factors of 936 are 2, 3, 13. Prime factorization of 936 in exponential form is:

936 = 2³ × 3² × 13¹

Step-2: 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-3: Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468

Step-4: Factors of 945

List of positive integer factors of 945 that divides 936 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 936 and 945. The biggest common factor number is the GCF number.
So the greatest common factor 936 and 945 is 9.

Also check out the Least Common Multiple of 936 and 945