What is the Greatest Common Factor of 2925 and 2941?

Greatest common factor (GCF) of 2925 and 2941 is 1.

GCF(2925,2941) = 1

We will now calculate the prime factors of 2925 and 2941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2925 and 2941.

How to find the GCF of 2925 and 2941?

We will first find the prime factorization of 2925 and 2941. After we will calculate the factors of 2925 and 2941 and find the biggest common factor number .

Step-1: Prime Factorization of 2925

Prime factors of 2925 are 3, 5, 13. Prime factorization of 2925 in exponential form is:

2925 = 3² × 5² × 13¹

Step-2: Prime Factorization of 2941

Prime factors of 2941 are 17, 173. Prime factorization of 2941 in exponential form is:

2941 = 17¹ × 173¹

Step-3: Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975

Step-4: Factors of 2941

List of positive integer factors of 2941 that divides 2925 without a remainder.

1, 17, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2925 and 2941. The biggest common factor number is the GCF number.
So the greatest common factor 2925 and 2941 is 1.

Also check out the Least Common Multiple of 2925 and 2941