What is the Greatest Common Factor of 7805 and 7825?

Greatest common factor (GCF) of 7805 and 7825 is 5.

GCF(7805,7825) = 5

We will now calculate the prime factors of 7805 and 7825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7805 and 7825.

How to find the GCF of 7805 and 7825?

We will first find the prime factorization of 7805 and 7825. After we will calculate the factors of 7805 and 7825 and find the biggest common factor number .

Step-1: Prime Factorization of 7805

Prime factors of 7805 are 5, 7, 223. Prime factorization of 7805 in exponential form is:

7805 = 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 7825

Prime factors of 7825 are 5, 313. Prime factorization of 7825 in exponential form is:

7825 = 5² × 313¹

Step-3: Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1, 5, 7, 35, 223, 1115, 1561

Step-4: Factors of 7825

List of positive integer factors of 7825 that divides 7805 without a remainder.

1, 5, 25, 313, 1565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7805 and 7825. The biggest common factor number is the GCF number.
So the greatest common factor 7805 and 7825 is 5.

Also check out the Least Common Multiple of 7805 and 7825