What is the Greatest Common Factor of 6960 and 6969?

Greatest common factor (GCF) of 6960 and 6969 is 3.

GCF(6960,6969) = 3

We will now calculate the prime factors of 6960 and 6969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6960 and 6969.

How to find the GCF of 6960 and 6969?

We will first find the prime factorization of 6960 and 6969. After we will calculate the factors of 6960 and 6969 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6969

Prime factors of 6969 are 3, 23, 101. Prime factorization of 6969 in exponential form is:

6969 = 3¹ × 23¹ × 101¹

Step-3: Factors of 6960

List of positive integer factors of 6960 that divides 6960 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

Step-4: Factors of 6969

List of positive integer factors of 6969 that divides 6960 without a remainder.

1, 3, 23, 69, 101, 303, 2323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6960 and 6969. The biggest common factor number is the GCF number.
So the greatest common factor 6960 and 6969 is 3.

Also check out the Least Common Multiple of 6960 and 6969