What is the Greatest Common Factor of 7812 and 7819?

Greatest common factor (GCF) of 7812 and 7819 is 7.

GCF(7812,7819) = 7

We will now calculate the prime factors of 7812 and 7819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7812 and 7819.

How to find the GCF of 7812 and 7819?

We will first find the prime factorization of 7812 and 7819. After we will calculate the factors of 7812 and 7819 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7819

Prime factors of 7819 are 7, 1117. Prime factorization of 7819 in exponential form is:

7819 = 7¹ × 1117¹

Step-3: Factors of 7812

List of positive integer factors of 7812 that divides 7812 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

Step-4: Factors of 7819

List of positive integer factors of 7819 that divides 7812 without a remainder.

1, 7, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7812 and 7819. The biggest common factor number is the GCF number.
So the greatest common factor 7812 and 7819 is 7.

Also check out the Least Common Multiple of 7812 and 7819