What is the Greatest Common Factor of 6945 and 6955?

Greatest common factor (GCF) of 6945 and 6955 is 5.

GCF(6945,6955) = 5

We will now calculate the prime factors of 6945 and 6955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6945 and 6955.

How to find the GCF of 6945 and 6955?

We will first find the prime factorization of 6945 and 6955. After we will calculate the factors of 6945 and 6955 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 6955

Prime factors of 6955 are 5, 13, 107. Prime factorization of 6955 in exponential form is:

6955 = 5¹ × 13¹ × 107¹

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 6955

List of positive integer factors of 6955 that divides 6945 without a remainder.

1, 5, 13, 65, 107, 535, 1391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6945 and 6955. The biggest common factor number is the GCF number.
So the greatest common factor 6945 and 6955 is 5.

Also check out the Least Common Multiple of 6945 and 6955