What is the Greatest Common Factor of 7792 and 7798?

Greatest common factor (GCF) of 7792 and 7798 is 2.

GCF(7792,7798) = 2

We will now calculate the prime factors of 7792 and 7798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7792 and 7798.

How to find the GCF of 7792 and 7798?

We will first find the prime factorization of 7792 and 7798. After we will calculate the factors of 7792 and 7798 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 7798

Prime factors of 7798 are 2, 7, 557. Prime factorization of 7798 in exponential form is:

7798 = 2¹ × 7¹ × 557¹

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 7798

List of positive integer factors of 7798 that divides 7792 without a remainder.

1, 2, 7, 14, 557, 1114, 3899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7792 and 7798. The biggest common factor number is the GCF number.
So the greatest common factor 7792 and 7798 is 2.

Also check out the Least Common Multiple of 7792 and 7798