What is the Greatest Common Factor of 933 and 942?

Greatest common factor (GCF) of 933 and 942 is 3.

GCF(933,942) = 3

We will now calculate the prime factors of 933 and 942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 933 and 942.

How to find the GCF of 933 and 942?

We will first find the prime factorization of 933 and 942. After we will calculate the factors of 933 and 942 and find the biggest common factor number .

Step-1: Prime Factorization of 933

Prime factors of 933 are 3, 311. Prime factorization of 933 in exponential form is:

933 = 3¹ × 311¹

Step-2: Prime Factorization of 942

Prime factors of 942 are 2, 3, 157. Prime factorization of 942 in exponential form is:

942 = 2¹ × 3¹ × 157¹

Step-3: Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1, 3, 311

Step-4: Factors of 942

List of positive integer factors of 942 that divides 933 without a remainder.

1, 2, 3, 6, 157, 314, 471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 933 and 942. The biggest common factor number is the GCF number.
So the greatest common factor 933 and 942 is 3.

Also check out the Least Common Multiple of 933 and 942