What is the Greatest Common Factor of 7805 and 7812?

Greatest common factor (GCF) of 7805 and 7812 is 7.

GCF(7805,7812) = 7

We will now calculate the prime factors of 7805 and 7812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7805 and 7812.

How to find the GCF of 7805 and 7812?

We will first find the prime factorization of 7805 and 7812. After we will calculate the factors of 7805 and 7812 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 7812

Prime factors of 7812 are 2, 3, 7, 31. Prime factorization of 7812 in exponential form is:

7812 = 2² × 3² × 7¹ × 31¹

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 7812

List of positive integer factors of 7812 that divides 7805 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7805 and 7812. The biggest common factor number is the GCF number.
So the greatest common factor 7805 and 7812 is 7.

Also check out the Least Common Multiple of 7805 and 7812