What is the Greatest Common Factor of 6720 and 6731?

Greatest common factor (GCF) of 6720 and 6731 is 1.

GCF(6720,6731) = 1

We will now calculate the prime factors of 6720 and 6731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6720 and 6731.

How to find the GCF of 6720 and 6731?

We will first find the prime factorization of 6720 and 6731. After we will calculate the factors of 6720 and 6731 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 6731

Prime factors of 6731 are 53, 127. Prime factorization of 6731 in exponential form is:

6731 = 53¹ × 127¹

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 6731

List of positive integer factors of 6731 that divides 6720 without a remainder.

1, 53, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6720 and 6731. The biggest common factor number is the GCF number.
So the greatest common factor 6720 and 6731 is 1.

Also check out the Least Common Multiple of 6720 and 6731