What is the Greatest Common Factor of 6908 and 6919?

Greatest common factor (GCF) of 6908 and 6919 is 11.

GCF(6908,6919) = 11

We will now calculate the prime factors of 6908 and 6919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6908 and 6919.

How to find the GCF of 6908 and 6919?

We will first find the prime factorization of 6908 and 6919. After we will calculate the factors of 6908 and 6919 and find the biggest common factor number .

Step-1: Prime Factorization of 6908

Prime factors of 6908 are 2, 11, 157. Prime factorization of 6908 in exponential form is:

6908 = 2² × 11¹ × 157¹

Step-2: Prime Factorization of 6919

Prime factors of 6919 are 11, 17, 37. Prime factorization of 6919 in exponential form is:

6919 = 11¹ × 17¹ × 37¹

Step-3: Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454

Step-4: Factors of 6919

List of positive integer factors of 6919 that divides 6908 without a remainder.

1, 11, 17, 37, 187, 407, 629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6908 and 6919. The biggest common factor number is the GCF number.
So the greatest common factor 6908 and 6919 is 11.

Also check out the Least Common Multiple of 6908 and 6919