What is the Greatest Common Factor of 7776 and 7792?

Greatest common factor (GCF) of 7776 and 7792 is 16.

GCF(7776,7792) = 16

We will now calculate the prime factors of 7776 and 7792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7776 and 7792.

How to find the GCF of 7776 and 7792?

We will first find the prime factorization of 7776 and 7792. After we will calculate the factors of 7776 and 7792 and find the biggest common factor number .

Step-1: Prime Factorization of 7776

Prime factors of 7776 are 2, 3. Prime factorization of 7776 in exponential form is:

7776 = 2⁵ × 3⁵

Step-2: Prime Factorization of 7792

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

7792 = 2⁴ × 487¹

Step-3: Factors of 7776

List of positive integer factors of 7776 that divides 7776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888

Step-4: Factors of 7792

List of positive integer factors of 7792 that divides 7776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7776 and 7792. The biggest common factor number is the GCF number.
So the greatest common factor 7776 and 7792 is 16.

Also check out the Least Common Multiple of 7776 and 7792