What is the Greatest Common Factor of 7792 and 7804?

Greatest common factor (GCF) of 7792 and 7804 is 4.

GCF(7792,7804) = 4

We will now calculate the prime factors of 7792 and 7804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7792 and 7804.

How to find the GCF of 7792 and 7804?

We will first find the prime factorization of 7792 and 7804. After we will calculate the factors of 7792 and 7804 and find the biggest common factor number .

Step-1: Prime Factorization of 7792

Prime factors of 7792 are 2, 487. Prime factorization of 7792 in exponential form is:

7792 = 2⁴ × 487¹

Step-2: Prime Factorization of 7804

Prime factors of 7804 are 2, 1951. Prime factorization of 7804 in exponential form is:

7804 = 2² × 1951¹

Step-3: Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1, 2, 4, 8, 16, 487, 974, 1948, 3896

Step-4: Factors of 7804

List of positive integer factors of 7804 that divides 7792 without a remainder.

1, 2, 4, 1951, 3902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7792 and 7804. The biggest common factor number is the GCF number.
So the greatest common factor 7792 and 7804 is 4.

Also check out the Least Common Multiple of 7792 and 7804