What is the Greatest Common Factor of 6945 and 6965?

Greatest common factor (GCF) of 6945 and 6965 is 5.

GCF(6945,6965) = 5

We will now calculate the prime factors of 6945 and 6965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6945 and 6965.

How to find the GCF of 6945 and 6965?

We will first find the prime factorization of 6945 and 6965. After we will calculate the factors of 6945 and 6965 and find the biggest common factor number .

Step-1: Prime Factorization of 6945

Prime factors of 6945 are 3, 5, 463. Prime factorization of 6945 in exponential form is:

6945 = 3¹ × 5¹ × 463¹

Step-2: Prime Factorization of 6965

Prime factors of 6965 are 5, 7, 199. Prime factorization of 6965 in exponential form is:

6965 = 5¹ × 7¹ × 199¹

Step-3: Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1, 3, 5, 15, 463, 1389, 2315

Step-4: Factors of 6965

List of positive integer factors of 6965 that divides 6945 without a remainder.

1, 5, 7, 35, 199, 995, 1393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6945 and 6965. The biggest common factor number is the GCF number.
So the greatest common factor 6945 and 6965 is 5.

Also check out the Least Common Multiple of 6945 and 6965