What is the Greatest Common Factor of 7770 and 7777?

Greatest common factor (GCF) of 7770 and 7777 is 7.

GCF(7770,7777) = 7

We will now calculate the prime factors of 7770 and 7777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7770 and 7777.

How to find the GCF of 7770 and 7777?

We will first find the prime factorization of 7770 and 7777. After we will calculate the factors of 7770 and 7777 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 7777

Prime factors of 7777 are 7, 11, 101. Prime factorization of 7777 in exponential form is:

7777 = 7¹ × 11¹ × 101¹

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 7777

List of positive integer factors of 7777 that divides 7770 without a remainder.

1, 7, 11, 77, 101, 707, 1111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7770 and 7777. The biggest common factor number is the GCF number.
So the greatest common factor 7770 and 7777 is 7.

Also check out the Least Common Multiple of 7770 and 7777