What is the Greatest Common Factor of 6720 and 6734?

Greatest common factor (GCF) of 6720 and 6734 is 14.

GCF(6720,6734) = 14

We will now calculate the prime factors of 6720 and 6734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6720 and 6734.

How to find the GCF of 6720 and 6734?

We will first find the prime factorization of 6720 and 6734. After we will calculate the factors of 6720 and 6734 and find the biggest common factor number .

Step-1: Prime Factorization of 6720

Prime factors of 6720 are 2, 3, 5, 7. Prime factorization of 6720 in exponential form is:

6720 = 2⁶ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 6734

Prime factors of 6734 are 2, 7, 13, 37. Prime factorization of 6734 in exponential form is:

6734 = 2¹ × 7¹ × 13¹ × 37¹

Step-3: Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360

Step-4: Factors of 6734

List of positive integer factors of 6734 that divides 6720 without a remainder.

1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6720 and 6734. The biggest common factor number is the GCF number.
So the greatest common factor 6720 and 6734 is 14.

Also check out the Least Common Multiple of 6720 and 6734