What is the Greatest Common Factor of 2891 and 2905?

Greatest common factor (GCF) of 2891 and 2905 is 7.

GCF(2891,2905) = 7

We will now calculate the prime factors of 2891 and 2905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2891 and 2905.

How to find the GCF of 2891 and 2905?

We will first find the prime factorization of 2891 and 2905. After we will calculate the factors of 2891 and 2905 and find the biggest common factor number .

Step-1: Prime Factorization of 2891

Prime factors of 2891 are 7, 59. Prime factorization of 2891 in exponential form is:

2891 = 7² × 59¹

Step-2: 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-3: Factors of 2891

List of positive integer factors of 2891 that divides 2891 without a remainder.

1, 7, 49, 59, 413

Step-4: Factors of 2905

List of positive integer factors of 2905 that divides 2891 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2891 and 2905. The biggest common factor number is the GCF number.
So the greatest common factor 2891 and 2905 is 7.

Also check out the Least Common Multiple of 2891 and 2905