What is the Greatest Common Factor of 2905 and 2925?

Greatest common factor (GCF) of 2905 and 2925 is 5.

GCF(2905,2925) = 5

We will now calculate the prime factors of 2905 and 2925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2905 and 2925.

How to find the GCF of 2905 and 2925?

We will first find the prime factorization of 2905 and 2925. After we will calculate the factors of 2905 and 2925 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 2925

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

2925 = 3² × 5² × 13¹

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 2925

List of positive integer factors of 2925 that divides 2905 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2905 and 2925. The biggest common factor number is the GCF number.
So the greatest common factor 2905 and 2925 is 5.

Also check out the Least Common Multiple of 2905 and 2925