What is the Greatest Common Factor of 2905 and 2917?

Greatest common factor (GCF) of 2905 and 2917 is 1.

GCF(2905,2917) = 1

We will now calculate the prime factors of 2905 and 2917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2905 and 2917.

How to find the GCF of 2905 and 2917?

We will first find the prime factorization of 2905 and 2917. After we will calculate the factors of 2905 and 2917 and find the biggest common factor number .

Step-1: Prime Factorization of 2905

Prime factors of 2905 are 5, 7, 83. Prime factorization of 2905 in exponential form is:

2905 = 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 2917

Prime factors of 2917 are 2917. Prime factorization of 2917 in exponential form is:

2917 = 2917¹

Step-3: Factors of 2905

List of positive integer factors of 2905 that divides 2905 without a remainder.

1, 5, 7, 35, 83, 415, 581

Step-4: Factors of 2917

List of positive integer factors of 2917 that divides 2905 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2905 and 2917. The biggest common factor number is the GCF number.
So the greatest common factor 2905 and 2917 is 1.

Also check out the Least Common Multiple of 2905 and 2917