What is the Greatest Common Factor of 6700 and 6707?

Greatest common factor (GCF) of 6700 and 6707 is 1.

GCF(6700,6707) = 1

We will now calculate the prime factors of 6700 and 6707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6700 and 6707.

How to find the GCF of 6700 and 6707?

We will first find the prime factorization of 6700 and 6707. After we will calculate the factors of 6700 and 6707 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 6707

Prime factors of 6707 are 19, 353. Prime factorization of 6707 in exponential form is:

6707 = 19¹ × 353¹

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 6707

List of positive integer factors of 6707 that divides 6700 without a remainder.

1, 19, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6700 and 6707. The biggest common factor number is the GCF number.
So the greatest common factor 6700 and 6707 is 1.

Also check out the Least Common Multiple of 6700 and 6707