What is the Greatest Common Factor of 6895 and 6910?

Greatest common factor (GCF) of 6895 and 6910 is 5.

GCF(6895,6910) = 5

We will now calculate the prime factors of 6895 and 6910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6895 and 6910.

How to find the GCF of 6895 and 6910?

We will first find the prime factorization of 6895 and 6910. After we will calculate the factors of 6895 and 6910 and find the biggest common factor number .

Step-1: Prime Factorization of 6895

Prime factors of 6895 are 5, 7, 197. Prime factorization of 6895 in exponential form is:

6895 = 5¹ × 7¹ × 197¹

Step-2: Prime Factorization of 6910

Prime factors of 6910 are 2, 5, 691. Prime factorization of 6910 in exponential form is:

6910 = 2¹ × 5¹ × 691¹

Step-3: Factors of 6895

List of positive integer factors of 6895 that divides 6895 without a remainder.

1, 5, 7, 35, 197, 985, 1379

Step-4: Factors of 6910

List of positive integer factors of 6910 that divides 6895 without a remainder.

1, 2, 5, 10, 691, 1382, 3455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6895 and 6910. The biggest common factor number is the GCF number.
So the greatest common factor 6895 and 6910 is 5.

Also check out the Least Common Multiple of 6895 and 6910