What is the Greatest Common Factor of 7776 and 7786?

Greatest common factor (GCF) of 7776 and 7786 is 2.

GCF(7776,7786) = 2

We will now calculate the prime factors of 7776 and 7786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7776 and 7786.

How to find the GCF of 7776 and 7786?

We will first find the prime factorization of 7776 and 7786. After we will calculate the factors of 7776 and 7786 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 7786

Prime factors of 7786 are 2, 17, 229. Prime factorization of 7786 in exponential form is:

7786 = 2¹ × 17¹ × 229¹

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 7786

List of positive integer factors of 7786 that divides 7776 without a remainder.

1, 2, 17, 34, 229, 458, 3893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7776 and 7786. The biggest common factor number is the GCF number.
So the greatest common factor 7776 and 7786 is 2.

Also check out the Least Common Multiple of 7776 and 7786