What is the Greatest Common Factor of 6700 and 6720?

Greatest common factor (GCF) of 6700 and 6720 is 20.

GCF(6700,6720) = 20

We will now calculate the prime factors of 6700 and 6720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6700 and 6720.

How to find the GCF of 6700 and 6720?

We will first find the prime factorization of 6700 and 6720. After we will calculate the factors of 6700 and 6720 and find the biggest common factor number .

Step-1: Prime Factorization of 6700

Prime factors of 6700 are 2, 5, 67. Prime factorization of 6700 in exponential form is:

6700 = 2² × 5² × 67¹

Step-2: 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-3: Factors of 6700

List of positive integer factors of 6700 that divides 6700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350

Step-4: Factors of 6720

List of positive integer factors of 6720 that divides 6700 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6700 and 6720. The biggest common factor number is the GCF number.
So the greatest common factor 6700 and 6720 is 20.

Also check out the Least Common Multiple of 6700 and 6720