What is the Greatest Common Factor of 7792 and 7807?

Greatest common factor (GCF) of 7792 and 7807 is 1.

GCF(7792,7807) = 1

We will now calculate the prime factors of 7792 and 7807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7792 and 7807.

How to find the GCF of 7792 and 7807?

We will first find the prime factorization of 7792 and 7807. After we will calculate the factors of 7792 and 7807 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 7807

Prime factors of 7807 are 37, 211. Prime factorization of 7807 in exponential form is:

7807 = 37¹ × 211¹

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 7807

List of positive integer factors of 7807 that divides 7792 without a remainder.

1, 37, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7792 and 7807. The biggest common factor number is the GCF number.
So the greatest common factor 7792 and 7807 is 1.

Also check out the Least Common Multiple of 7792 and 7807