What is the Greatest Common Factor of 7809 and 7828?

Greatest common factor (GCF) of 7809 and 7828 is 19.

GCF(7809,7828) = 19

We will now calculate the prime factors of 7809 and 7828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7809 and 7828.

How to find the GCF of 7809 and 7828?

We will first find the prime factorization of 7809 and 7828. After we will calculate the factors of 7809 and 7828 and find the biggest common factor number .

Step-1: Prime Factorization of 7809

Prime factors of 7809 are 3, 19, 137. Prime factorization of 7809 in exponential form is:

7809 = 3¹ × 19¹ × 137¹

Step-2: Prime Factorization of 7828

Prime factors of 7828 are 2, 19, 103. Prime factorization of 7828 in exponential form is:

7828 = 2² × 19¹ × 103¹

Step-3: Factors of 7809

List of positive integer factors of 7809 that divides 7809 without a remainder.

1, 3, 19, 57, 137, 411, 2603

Step-4: Factors of 7828

List of positive integer factors of 7828 that divides 7809 without a remainder.

1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7809 and 7828. The biggest common factor number is the GCF number.
So the greatest common factor 7809 and 7828 is 19.

Also check out the Least Common Multiple of 7809 and 7828