What is the Greatest Common Factor of 6942 and 6960?

Greatest common factor (GCF) of 6942 and 6960 is 6.

GCF(6942,6960) = 6

We will now calculate the prime factors of 6942 and 6960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6942 and 6960.

How to find the GCF of 6942 and 6960?

We will first find the prime factorization of 6942 and 6960. After we will calculate the factors of 6942 and 6960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6960

Prime factors of 6960 are 2, 3, 5, 29. Prime factorization of 6960 in exponential form is:

6960 = 2⁴ × 3¹ × 5¹ × 29¹

Step-3: Factors of 6942

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

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

Step-4: Factors of 6960

List of positive integer factors of 6960 that divides 6942 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6942 and 6960. The biggest common factor number is the GCF number.
So the greatest common factor 6942 and 6960 is 6.

Also check out the Least Common Multiple of 6942 and 6960