What is the Greatest Common Factor of 930 and 945?

Greatest common factor (GCF) of 930 and 945 is 15.

GCF(930,945) = 15

We will now calculate the prime factors of 930 and 945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 930 and 945.

How to find the GCF of 930 and 945?

We will first find the prime factorization of 930 and 945. After we will calculate the factors of 930 and 945 and find the biggest common factor number .

Step-1: Prime Factorization of 930

Prime factors of 930 are 2, 3, 5, 31. Prime factorization of 930 in exponential form is:

930 = 2¹ × 3¹ × 5¹ × 31¹

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 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465

Step-4: Factors of 945

List of positive integer factors of 945 that divides 930 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 930 and 945. The biggest common factor number is the GCF number.
So the greatest common factor 930 and 945 is 15.

Also check out the Least Common Multiple of 930 and 945