What is the Greatest Common Factor of 7770 and 7776?

Greatest common factor (GCF) of 7770 and 7776 is 6.

GCF(7770,7776) = 6

We will now calculate the prime factors of 7770 and 7776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7770 and 7776.

How to find the GCF of 7770 and 7776?

We will first find the prime factorization of 7770 and 7776. After we will calculate the factors of 7770 and 7776 and find the biggest common factor number .

Step-1: Prime Factorization of 7770

Prime factors of 7770 are 2, 3, 5, 7, 37. Prime factorization of 7770 in exponential form is:

7770 = 2¹ × 3¹ × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 7776

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

7776 = 2⁵ × 3⁵

Step-3: Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885

Step-4: Factors of 7776

List of positive integer factors of 7776 that divides 7770 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7770 and 7776. The biggest common factor number is the GCF number.
So the greatest common factor 7770 and 7776 is 6.

Also check out the Least Common Multiple of 7770 and 7776