What is the Greatest Common Factor of 6928 and 6935?

Greatest common factor (GCF) of 6928 and 6935 is 1.

GCF(6928,6935) = 1

We will now calculate the prime factors of 6928 and 6935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6928 and 6935.

How to find the GCF of 6928 and 6935?

We will first find the prime factorization of 6928 and 6935. After we will calculate the factors of 6928 and 6935 and find the biggest common factor number .

Step-1: Prime Factorization of 6928

Prime factors of 6928 are 2, 433. Prime factorization of 6928 in exponential form is:

6928 = 2⁴ × 433¹

Step-2: Prime Factorization of 6935

Prime factors of 6935 are 5, 19, 73. Prime factorization of 6935 in exponential form is:

6935 = 5¹ × 19¹ × 73¹

Step-3: Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1, 2, 4, 8, 16, 433, 866, 1732, 3464

Step-4: Factors of 6935

List of positive integer factors of 6935 that divides 6928 without a remainder.

1, 5, 19, 73, 95, 365, 1387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6928 and 6935. The biggest common factor number is the GCF number.
So the greatest common factor 6928 and 6935 is 1.

Also check out the Least Common Multiple of 6928 and 6935