What is the Greatest Common Factor of 6924 and 6942?

Greatest common factor (GCF) of 6924 and 6942 is 6.

GCF(6924,6942) = 6

We will now calculate the prime factors of 6924 and 6942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6924 and 6942.

How to find the GCF of 6924 and 6942?

We will first find the prime factorization of 6924 and 6942. After we will calculate the factors of 6924 and 6942 and find the biggest common factor number .

Step-1: Prime Factorization of 6924

Prime factors of 6924 are 2, 3, 577. Prime factorization of 6924 in exponential form is:

6924 = 2² × 3¹ × 577¹

Step-2: Prime Factorization of 6942

Prime factors of 6942 are 2, 3, 13, 89. Prime factorization of 6942 in exponential form is:

6942 = 2¹ × 3¹ × 13¹ × 89¹

Step-3: Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462

Step-4: Factors of 6942

List of positive integer factors of 6942 that divides 6924 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6924 and 6942. The biggest common factor number is the GCF number.
So the greatest common factor 6924 and 6942 is 6.

Also check out the Least Common Multiple of 6924 and 6942