What is the Greatest Common Factor of 12945 and 12955?

Greatest common factor (GCF) of 12945 and 12955 is 5.

GCF(12945,12955) = 5

We will now calculate the prime factors of 12945 and 12955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12945 and 12955.

How to find the GCF of 12945 and 12955?

We will first find the prime factorization of 12945 and 12955. After we will calculate the factors of 12945 and 12955 and find the biggest common factor number .

Step-1: Prime Factorization of 12945

Prime factors of 12945 are 3, 5, 863. Prime factorization of 12945 in exponential form is:

12945 = 3¹ × 5¹ × 863¹

Step-2: Prime Factorization of 12955

Prime factors of 12955 are 5, 2591. Prime factorization of 12955 in exponential form is:

12955 = 5¹ × 2591¹

Step-3: Factors of 12945

List of positive integer factors of 12945 that divides 12945 without a remainder.

1, 3, 5, 15, 863, 2589, 4315

Step-4: Factors of 12955

List of positive integer factors of 12955 that divides 12945 without a remainder.

1, 5, 2591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12945 and 12955. The biggest common factor number is the GCF number.
So the greatest common factor 12945 and 12955 is 5.

Also check out the Least Common Multiple of 12945 and 12955