What is the Greatest Common Factor of 942 and 954?

Greatest common factor (GCF) of 942 and 954 is 6.

GCF(942,954) = 6

We will now calculate the prime factors of 942 and 954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 942 and 954.

How to find the GCF of 942 and 954?

We will first find the prime factorization of 942 and 954. After we will calculate the factors of 942 and 954 and find the biggest common factor number .

Step-1: 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-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 942

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

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

Step-4: Factors of 954

List of positive integer factors of 954 that divides 942 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 942 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 942 and 954 is 6.

Also check out the Least Common Multiple of 942 and 954